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457052344 = 23717231911
BaseRepresentation
bin11011001111100…
…001000010111000
31011212000122221121
4123033201002320
51414001133334
6113204115024
714216611060
oct3317410270
91155018847
10457052344
11214aa3211
12109095a74
13738c8998
14449b63a0
152a1d2db4
hex1b3e10b8

457052344 has 96 divisors (see below), whose sum is σ = 1075138560. Its totient is φ = 178214400.

The previous prime is 457052341. The next prime is 457052357. The reversal of 457052344 is 443250754.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457052341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501249 + ... + 502159.

It is an arithmetic number, because the mean of its divisors is an integer number (11199360).

Almost surely, 2457052344 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 457052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537569280).

457052344 is an abundant number, since it is smaller than the sum of its proper divisors (618086216).

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

457052344 is a wasteful number, since it uses less digits than its factorization.

457052344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 457052344 is about 21378.7825658993. The cubic root of 457052344 is about 770.2918688886.

The spelling of 457052344 in words is "four hundred fifty-seven million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 289 434 476 527 578 868 911 952 1054 1156 1736 1822 2023 2108 2312 3644 3689 4046 4216 6377 7288 7378 8092 8959 12754 14756 15487 16184 17918 25508 28241 29512 30974 35836 51016 56482 61948 62713 71672 108409 112964 123896 125426 197687 216818 225928 250852 263279 395374 433636 480097 501704 526558 790748 867272 960194 1053116 1581496 1842953 1920388 2106232 3360679 3685906 3840776 6721358 7371812 8161649 13442716 14743624 16323298 26885432 32646596 57131543 65293192 114263086 228526172 457052344