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342596928 = 2632517109
BaseRepresentation
bin10100011010111…
…001110101000000
3212212122201122010
4110122321311000
51200201100203
653555012520
711330011602
oct2432716500
9785581563
10342596928
11166429163
129689a140
1355c9369b
1433701172
1520125303
hex146b9d40

342596928 has 56 divisors (see below), whose sum is σ = 910193760. Its totient is φ = 113728000.

The previous prime is 342596927. The next prime is 342596963. The reversal of 342596928 is 829695243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342596921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44638 + ... + 51746.

It is an arithmetic number, because the mean of its divisors is an integer number (16253460).

Almost surely, 2342596928 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 342596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455096880).

342596928 is an abundant number, since it is smaller than the sum of its proper divisors (567596832).

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

342596928 is a wasteful number, since it uses less digits than its factorization.

342596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7365 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 342596928 is about 18509.3740574877. The cubic root of 342596928 is about 699.7256938834.

The spelling of 342596928 in words is "three hundred forty-two million, five hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 3012 4016 6024 7109 8032 12048 14218 16064 21327 24096 28436 42654 48192 56872 85308 113744 170616 227488 341232 454976 682464 1364928 1784359 3568718 5353077 7137436 10706154 14274872 21412308 28549744 42824616 57099488 85649232 114198976 171298464 342596928