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34321152 = 283232967
BaseRepresentation
bin1000001011101…
…1001100000000
32101120200202210
42002323030000
532241234102
63223342120
7564503445
oct202731400
971520683
1034321152
1118411a98
12b5b1940
137158a98
1447b59cc
15302e36c
hex20bb300

34321152 has 144 divisors (see below), whose sum is σ = 100074240. Its totient is φ = 10407936.

The previous prime is 34321121. The next prime is 34321153. The reversal of 34321152 is 25112343.

It is not an unprimeable number, because it can be changed into a prime (34321153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512223 + ... + 512289.

It is an arithmetic number, because the mean of its divisors is an integer number (694960).

Almost surely, 234321152 is an apocalyptic number.

34321152 is a gapful number since it is divisible by the number (32) 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 34321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50037120).

34321152 is an abundant number, since it is smaller than the sum of its proper divisors (65753088).

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

34321152 is a wasteful number, since it uses less digits than its factorization.

34321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 34321152 is about 5858.4257271045. The cubic root of 34321152 is about 324.9779929872.

Adding to 34321152 its reverse (25112343), we get a palindrome (59433495).

The spelling of 34321152 in words is "thirty-four million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 67 69 87 92 96 116 128 134 138 174 184 192 201 232 256 268 276 348 368 384 402 464 536 552 667 696 736 768 804 928 1072 1104 1334 1392 1472 1541 1608 1856 1943 2001 2144 2208 2668 2784 2944 3082 3216 3712 3886 4002 4288 4416 4623 5336 5568 5829 5888 6164 6432 7424 7772 8004 8576 8832 9246 10672 11136 11658 12328 12864 15544 16008 17152 17664 18492 21344 22272 23316 24656 25728 31088 32016 36984 42688 44689 46632 49312 51456 62176 64032 73968 85376 89378 93264 98624 124352 128064 134067 147936 170752 178756 186528 197248 248704 256128 268134 295872 357512 373056 394496 497408 512256 536268 591744 715024 746112 1072536 1183488 1430048 1492224 2145072 2860096 4290144 5720192 8580288 11440384 17160576 34321152