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434043343392 = 25317265957931
BaseRepresentation
bin1100101000011101111…
…11111101001000100000
31112111100020010101202220
412110032333331020200
524102410043442032
6531221411111040
743233666355011
oct6241677751040
91474306111686
10434043343392
1115809317413a
12701542a2480
1331c125bc409
1417017605008
15b4554aa12c
hex650effd220

434043343392 has 48 divisors (see below), whose sum is σ = 1206385179552. Its totient is φ = 136170460160.

The previous prime is 434043343387. The next prime is 434043343403. The reversal of 434043343392 is 293343340434.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132977334 + ... + 132980597.

It is an arithmetic number, because the mean of its divisors is an integer number (25133024574).

Almost surely, 2434043343392 is an apocalyptic number.

It is an amenable number.

434043343392 is an abundant number, since it is smaller than the sum of its proper divisors (772341836160).

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

434043343392 is a wasteful number, since it uses less digits than its factorization.

434043343392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265957961 (or 265957953 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 42.

The spelling of 434043343392 in words is "four hundred thirty-four billion, forty-three million, three hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 265957931 531915862 797873793 1063831724 1595747586 2127663448 3191495172 4255326896 4521284827 6382990344 8510653792 9042569654 12765980688 13563854481 18085139308 25531961376 27127708962 36170278616 54255417924 72340557232 108510835848 144681114464 217021671696 434043343392