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57343440 = 243571129107
BaseRepresentation
bin1101101010111…
…1110111010000
310222220100102010
43122233313100
5104134442230
65405022520
71264261020
oct332576720
9128810363
1057343440
112a406a80
1217254a40
13bb59a3b
147889a80
15507a9b0
hex36afdd0

57343440 has 320 divisors, whose sum is σ = 231413760. Its totient is φ = 11397120.

The previous prime is 57343427. The next prime is 57343487. The reversal of 57343440 is 4434375.

It is a super-2 number, since 2×573434402 = 6576540222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57343398 and 57343407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535867 + ... + 535973.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 257343440 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 57343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

57343440 is an abundant number, since it is smaller than the sum of its proper divisors (174070320).

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

57343440 is a wasteful number, since it uses less digits than its factorization.

57343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 57343440 is about 7572.5451467786. The cubic root of 57343440 is about 385.6215069815.

The spelling of 57343440 in words is "fifty-seven million, three hundred forty-three thousand, four hundred forty".