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345270232944 = 24327131091631483
BaseRepresentation
bin1010000011000111011…
…01011010011101110000
31020000012110212010201100
411001203231122131300
521124103134423234
6422340455204400
733642055361640
oct5014355323560
91200173763640
10345270232944
1112347905535a
1256aba376700
1326735a178b0
14129d5636520
158eabbcb399
hex5063b5a770

345270232944 has 480 divisors, whose sum is σ = 1208352104960. Its totient is φ = 89610872832.

The previous prime is 345270232939. The next prime is 345270232969. The reversal of 345270232944 is 449232072543.

345270232944 is a `hidden beast` number, since 3 + 4 + 527 + 0 + 2 + 32 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345270232944.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 232818027 + ... + 232819509.

Almost surely, 2345270232944 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 345270232944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604176052480).

345270232944 is an abundant number, since it is smaller than the sum of its proper divisors (863081872016).

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

345270232944 is a wasteful number, since it uses less digits than its factorization.

345270232944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 345270232944 in words is "three hundred forty-five billion, two hundred seventy million, two hundred thirty-two thousand, nine hundred forty-four".