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34323696 = 24331131233
BaseRepresentation
bin1000001011101…
…1110011110000
32101120211021000
42002323303300
532241324241
63223402000
7564514041
oct202736360
971524230
1034323696
11184139a0
12b5b3300
137159ca4
1447b68c8
15302eeb6
hex20bbcf0

34323696 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 10022400.

The previous prime is 34323691. The next prime is 34323713. The reversal of 34323696 is 69632343.

34323696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343236962 = 2356232214200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34323696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34323691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147196 + ... + 147428.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 234323696 is an apocalyptic number.

34323696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34323696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

34323696 is an abundant number, since it is smaller than the sum of its proper divisors (77097744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34323696 is a wasteful number, since it uses less digits than its factorization.

34323696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 34323696 is about 5858.6428462571. The cubic root of 34323696 is about 324.9860222785.

The spelling of 34323696 in words is "thirty-four million, three hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 233 248 264 279 297 341 372 396 432 466 496 528 558 594 682 699 744 792 837 932 1023 1116 1188 1364 1398 1488 1584 1674 1864 2046 2097 2232 2376 2563 2728 2796 3069 3348 3728 4092 4194 4464 4752 5126 5456 5592 6138 6291 6696 7223 7689 8184 8388 9207 10252 11184 12276 12582 13392 14446 15378 16368 16776 18414 20504 21669 23067 24552 25164 28892 30756 33552 36828 41008 43338 46134 49104 50328 57784 61512 65007 69201 73656 79453 86676 92268 100656 115568 123024 130014 138402 147312 158906 173352 184536 195021 238359 260028 276804 317812 346704 369072 390042 476718 520056 553608 635624 715077 780084 953436 1040112 1107216 1271248 1430154 1560168 1906872 2145231 2860308 3120336 3813744 4290462 5720616 8580924 11441232 17161848 34323696