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934032096 = 2532191311303
BaseRepresentation
bin110111101011000…
…011001011100000
32102002112202011100
4313223003023200
53403103011341
6232403314400
732101066434
oct6753031340
92362482140
10934032096
1143a267158
1222097ba00
1311b680a1a
148c0989c4
15570003b6
hex37ac32e0

934032096 has 144 divisors (see below), whose sum is σ = 2819456640. Its totient is φ = 292481280.

The previous prime is 934032079. The next prime is 934032103. The reversal of 934032096 is 690230439.

It is a happy number.

934032096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 934032096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716181 + ... + 717483.

It is an arithmetic number, because the mean of its divisors is an integer number (19579560).

Almost surely, 2934032096 is an apocalyptic number.

934032096 is a gapful number since it is divisible by the number (96) 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 934032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409728320).

934032096 is an abundant number, since it is smaller than the sum of its proper divisors (1885424544).

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

934032096 is a wasteful number, since it uses less digits than its factorization.

934032096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 934032096 is about 30561.9386819619. The cubic root of 934032096 is about 977.5086294243.

The spelling of 934032096 in words is "nine hundred thirty-four million, thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 131 144 152 171 228 262 288 304 342 393 456 524 608 684 786 912 1048 1179 1303 1368 1572 1824 2096 2358 2489 2606 2736 3144 3909 4192 4716 4978 5212 5472 6288 7467 7818 9432 9956 10424 11727 12576 14934 15636 18864 19912 20848 22401 23454 24757 29868 31272 37728 39824 41696 44802 46908 49514 59736 62544 74271 79648 89604 93816 99028 119472 125088 148542 170693 179208 187632 198056 222813 238944 297084 341386 358416 375264 396112 445626 512079 594168 682772 716832 792224 891252 1024158 1188336 1365544 1536237 1782504 2048316 2376672 2731088 3072474 3243167 3565008 4096632 5462176 6144948 6486334 7130016 8193264 9729501 12289896 12972668 16386528 19459002 24579792 25945336 29188503 38918004 49159584 51890672 58377006 77836008 103781344 116754012 155672016 233508024 311344032 467016048 934032096