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342157600 = 25522112027
BaseRepresentation
bin10100011001001…
…110100100100000
3212211211101222201
4110121032210200
51200043020400
653541342544
711323202011
oct2431164440
9784741881
10342157600
11166159084
1296707a54
1355b6b725
1433629008
152008a06a
hex1464e920

342157600 has 72 divisors (see below), whose sum is σ = 839665008. Its totient is φ = 136147200.

The previous prime is 342157561. The next prime is 342157609. The reversal of 342157600 is 6751243.

It is not an unprimeable number, because it can be changed into a prime (342157609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167787 + ... + 169813.

It is an arithmetic number, because the mean of its divisors is an integer number (11662014).

Almost surely, 2342157600 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 342157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419832504).

342157600 is an abundant number, since it is smaller than the sum of its proper divisors (497507408).

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

342157600 is a wasteful number, since it uses less digits than its factorization.

342157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 342157600 is about 18497.5025341261. The cubic root of 342157600 is about 699.4264689927.

The spelling of 342157600 in words is "three hundred forty-two million, one hundred fifty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 211 400 422 800 844 1055 1688 2027 2110 3376 4054 4220 5275 6752 8108 8440 10135 10550 16216 16880 20270 21100 32432 33760 40540 42200 50675 64864 81080 84400 101350 162160 168800 202700 324320 405400 427697 810800 855394 1621600 1710788 2138485 3421576 4276970 6843152 8553940 10692425 13686304 17107880 21384850 34215760 42769700 68431520 85539400 171078800 342157600