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346130906976 = 25321201843427
BaseRepresentation
bin1010000100101110000…
…00100111111101100000
31020002102110100220112100
411002113000213331200
521132334003010401
6423002122330400
734002306110451
oct5022700477540
91202373326470
10346130906976
1112387a967508
12570ba659a00
132684212247a
1412a77a77128
15900c53ab86
hex5097027f60

346130906976 has 36 divisors (see below), whose sum is σ = 984309767532. Its totient is φ = 115376968896.

The previous prime is 346130906971. The next prime is 346130906977. The reversal of 346130906976 is 679609031643.

346130906976 is a `hidden beast` number, since 3 + 461 + 3 + 0 + 90 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346130906971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600921426 + ... + 600922001.

It is an arithmetic number, because the mean of its divisors is an integer number (27341937987).

Almost surely, 2346130906976 is an apocalyptic number.

346130906976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

346130906976 is an abundant number, since it is smaller than the sum of its proper divisors (638178860556).

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

346130906976 is a wasteful number, since it uses less digits than its factorization.

346130906976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201843443 (or 1201843432 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 346130906976 in words is "three hundred forty-six billion, one hundred thirty million, nine hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1201843427 2403686854 3605530281 4807373708 7211060562 9614747416 10816590843 14422121124 19229494832 21633181686 28844242248 38458989664 43266363372 57688484496 86532726744 115376968992 173065453488 346130906976