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345555608490 = 23353734590151
BaseRepresentation
bin1010000011101001011…
…10000010001110101010
31020000221100211201101000
411001310232002032222
521130144213432430
6422425051535430
733652122131421
oct5016456021652
91200840751330
10345555608490
11123605150214
1256b79a5a576
132677cb94c71
1412a214c02b8
158ec6c9be60
hex5074b823aa

345555608490 has 64 divisors (see below), whose sum is σ = 946386558720. Its totient is φ = 89657668800.

The previous prime is 345555608467. The next prime is 345555608507. The reversal of 345555608490 is 94806555543.

345555608490 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 556 + 0 + 84 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17285086 + ... + 17305065.

It is an arithmetic number, because the mean of its divisors is an integer number (14787289980).

Almost surely, 2345555608490 is an apocalyptic number.

345555608490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345555608490 is an abundant number, since it is smaller than the sum of its proper divisors (600830950230).

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

345555608490 is a wasteful number, since it uses less digits than its factorization.

345555608490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590204 (or 34590198 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 345555608490 in words is "three hundred forty-five billion, five hundred fifty-five million, six hundred eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 34590151 69180302 103770453 172950755 207540906 311311359 345901510 518852265 622622718 933934077 1037704530 1279835587 1556556795 1867868154 2559671174 3113113590 3839506761 4669670385 6399177935 7679013522 9339340770 11518520283 12798355870 19197533805 23037040566 34555560849 38395067610 57592601415 69111121698 115185202830 172777804245 345555608490