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345291467680 = 25510312093183
BaseRepresentation
bin1010000011001001111…
…10011010101110100000
31020000020221210222022001
411001210332122232200
521124124103431210
6422342534253344
733642434022535
oct5014476325640
91200227728261
10345291467680
1112348a039325
1256b054b7254
132673a241023
14129d83a2d8c
158ead9c303a
hex5064f9aba0

345291467680 has 48 divisors (see below), whose sum is σ = 816542705664. Its totient is φ = 137982557440.

The previous prime is 345291467533. The next prime is 345291467681. The reversal of 345291467680 is 86764192543.

It is not an unprimeable number, because it can be changed into a prime (345291467681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881632 + ... + 1211551.

It is an arithmetic number, because the mean of its divisors is an integer number (17011306368).

It is a 1-persistent number, because it is pandigital, but 2⋅345291467680 = 690582935360 is not.

Almost surely, 2345291467680 is an apocalyptic number.

It is an amenable number.

345291467680 is an abundant number, since it is smaller than the sum of its proper divisors (471251237984).

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

345291467680 is a wasteful number, since it uses less digits than its factorization.

345291467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094229 (or 2094221 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 345291467680 in words is "three hundred forty-five billion, two hundred ninety-one million, four hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1031 2062 4124 5155 8248 10310 16496 20620 32992 41240 82480 164960 2093183 4186366 8372732 10465915 16745464 20931830 33490928 41863660 66981856 83727320 167454640 334909280 2158071673 4316143346 8632286692 10790358365 17264573384 21580716730 34529146768 43161433460 69058293536 86322866920 172645733840 345291467680