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345684101976 = 23331984231019
BaseRepresentation
bin1010000011111000110…
…00001100101101011000
31020001021022121212022000
411001330120030231120
521130430112230401
6422445522001000
733655242246123
oct5017430145530
91201238555260
10345684101976
11123670733284
1256bb4aa6160
13267a06a3b05
1412a345ab3ba
158ed31ce186
hex507c60cb58

345684101976 has 64 divisors (see below), whose sum is σ = 1010772240000. Its totient is φ = 109163399328.

The previous prime is 345684101969. The next prime is 345684101981. The reversal of 345684101976 is 679101486543.

345684101976 is a `hidden beast` number, since 3 + 4 + 568 + 4 + 1 + 0 + 1 + 9 + 76 = 666.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42111406 + ... + 42119613.

It is an arithmetic number, because the mean of its divisors is an integer number (15793316250).

Almost surely, 2345684101976 is an apocalyptic number.

345684101976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345684101976 is an abundant number, since it is smaller than the sum of its proper divisors (665088138024).

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

345684101976 is a wasteful number, since it uses less digits than its factorization.

345684101976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84231053 (or 84231043 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 345684101976 in words is "three hundred forty-five billion, six hundred eighty-four million, one hundred one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 84231019 168462038 252693057 336924076 505386114 673848152 758079171 1010772228 1516158342 1600389361 2021544456 2274237513 3032316684 3200778722 4548475026 4801168083 6064633368 6401557444 9096950052 9602336166 12803114888 14403504249 18193900104 19204672332 28807008498 38409344664 43210512747 57614016996 86421025494 115228033992 172842050988 345684101976