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368434380100 = 22523684343801
BaseRepresentation
bin1010101110010000110…
…01100111110101000100
31022012222211021201212111
411113020121213311010
522014023200130400
6441131215230404
735422101362443
oct5271031476504
91265884251774
10368434380100
11132285669a26
125b4a3b18404
1328987aba047
1413b91c52d5a
1598b56123ba
hex55c8667d44

368434380100 has 18 divisors (see below), whose sum is σ = 799502605034. Its totient is φ = 147373752000.

The previous prime is 368434380053. The next prime is 368434380101. The reversal of 368434380100 is 1083434863.

It can be written as a sum of positive squares in 3 ways, for example, as 24963368004 + 343471012096 = 157998^2 + 586064^2 .

It is not an unprimeable number, because it can be changed into a prime (368434380101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1842171801 + ... + 1842172000.

Almost surely, 2368434380100 is an apocalyptic number.

It is an amenable number.

368434380100 is an abundant number, since it is smaller than the sum of its proper divisors (431068224934).

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

368434380100 is a wasteful number, since it uses less digits than its factorization.

368434380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684343815 (or 3684343808 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 368434380100 in words is "three hundred sixty-eight billion, four hundred thirty-four million, three hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3684343801 7368687602 14737375204 18421719005 36843438010 73686876020 92108595025 184217190050 368434380100