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342082400 = 25521138873
BaseRepresentation
bin10100011000111…
…100001101100000
3212211200120211112
4110120330031200
51200033114100
653540002452
711322436532
oct2430741540
9784616745
10342082400
11166107630
1296690428
1355b4342a
1433609852
1520072b35
hex1463c360

342082400 has 72 divisors (see below), whose sum is σ = 911051064. Its totient is φ = 124390400.

The previous prime is 342082399. The next prime is 342082451. The reversal of 342082400 is 4280243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10637 + ... + 28236.

It is an arithmetic number, because the mean of its divisors is an integer number (12653487).

Almost surely, 2342082400 is an apocalyptic number.

It is an amenable number.

342082400 is an abundant number, since it is smaller than the sum of its proper divisors (568968664).

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

342082400 is a wasteful number, since it uses less digits than its factorization.

342082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38904 (or 38891 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 342082400 is about 18495.4697155817. The cubic root of 342082400 is about 699.3752248445.

The spelling of 342082400 in words is "three hundred forty-two million, eighty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 38873 77746 155492 194365 310984 388730 427603 621968 777460 855206 971825 1243936 1554920 1710412 1943650 2138015 3109840 3420824 3887300 4276030 6219680 6841648 7774600 8552060 10690075 13683296 15549200 17104120 21380150 31098400 34208240 42760300 68416480 85520600 171041200 342082400