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34103472 = 24313314143
BaseRepresentation
bin1000001000011…
…0000010110000
32101011122011120
42002012002300
532212302342
63214542240
7562606014
oct202060260
971148146
1034103472
1118283497
12b507980
1370b0990
14475a544
152ed9aec
hex20860b0

34103472 has 160 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 9676800.

The previous prime is 34103471. The next prime is 34103497. The reversal of 34103472 is 27430143.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (34103471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793083 + ... + 793125.

Almost surely, 234103472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

34103472 is an abundant number, since it is smaller than the sum of its proper divisors (68556624).

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

34103472 is a wasteful number, since it uses less digits than its factorization.

34103472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 34103472 is about 5839.8178053772. The cubic root of 34103472 is about 324.2894836958.

The spelling of 34103472 in words is "thirty-four million, one hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 41 43 48 52 62 78 82 86 93 104 123 124 129 156 164 172 186 208 246 248 258 312 328 344 372 403 492 496 516 533 559 624 656 688 744 806 984 1032 1066 1118 1209 1271 1333 1488 1599 1612 1677 1763 1968 2064 2132 2236 2418 2542 2666 3198 3224 3354 3526 3813 3999 4264 4472 4836 5084 5289 5332 6396 6448 6708 7052 7626 7998 8528 8944 9672 10168 10578 10664 12792 13416 14104 15252 15996 16523 17329 19344 20336 21156 21328 22919 25584 26832 28208 30504 31992 33046 34658 42312 45838 49569 51987 54653 61008 63984 66092 68757 69316 84624 91676 99138 103974 109306 132184 137514 138632 163959 183352 198276 207948 218612 264368 275028 277264 327918 366704 396552 415896 437224 550056 655836 710489 793104 831792 874448 1100112 1311672 1420978 2131467 2623344 2841956 4262934 5683912 8525868 11367824 17051736 34103472