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934254112 = 251123167691
BaseRepresentation
bin110111101011111…
…001011000100000
32102002222000201011
4313223321120200
53403132112422
6232412150304
732103012631
oct6753713040
92362860634
10934254112
1143a3a8a40
12220a68394
1311b72aaac
148c115888
1557046077
hex37af9620

934254112 has 96 divisors (see below), whose sum is σ = 2109348864. Its totient is φ = 403180800.

The previous prime is 934254071. The next prime is 934254119. The reversal of 934254112 is 211452439.

It is a super-5 number, since 5×9342541125 (a number of 46 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (934254119) 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, 1351687 + ... + 1352377.

It is an arithmetic number, because the mean of its divisors is an integer number (21972384).

Almost surely, 2934254112 is an apocalyptic number.

934254112 is a gapful number since it is divisible by the number (92) 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 934254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054674432).

934254112 is an abundant number, since it is smaller than the sum of its proper divisors (1175094752).

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

934254112 is a wasteful number, since it uses less digits than its factorization.

934254112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 934254112 is about 30565.5706964552. The cubic root of 934254112 is about 977.5860733594.

The spelling of 934254112 in words is "nine hundred thirty-four million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 167 176 184 253 334 352 368 506 668 691 736 1012 1336 1382 1837 2024 2672 2764 3674 3841 4048 5344 5528 7348 7601 7682 8096 11056 14696 15202 15364 15893 22112 29392 30404 30728 31786 42251 58784 60808 61456 63572 84502 115397 121616 122912 127144 169004 174823 230794 243232 254288 338008 349646 461588 508576 676016 699292 923176 1269367 1352032 1398584 1846352 2538734 2654131 2797168 3692704 5077468 5308262 5594336 10154936 10616524 20309872 21233048 29195441 40619744 42466096 58390882 84932192 116781764 233563528 467127056 934254112