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3405666264 = 23371113141761
BaseRepresentation
bin1100101011111110…
…0101011111011000
322210100100202211120
43022333211133120
523433322310024
61321535125240
7150252454110
oct31277453730
98710322746
103405666264
111498456520
127b0673820
1342375ac50
14244444040
1514dec6479
hexcafe57d8

3405666264 has 128 divisors (see below), whose sum is σ = 11431687680. Its totient is φ = 816537600.

The previous prime is 3405666247. The next prime is 3405666317. The reversal of 3405666264 is 4626665043.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46857 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (89310060).

Almost surely, 23405666264 is an apocalyptic number.

It is an amenable number.

3405666264 is an abundant number, since it is smaller than the sum of its proper divisors (8026021416).

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

3405666264 is a wasteful number, since it uses less digits than its factorization.

3405666264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141801 (or 141797 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3405666264 is about 58358.0865347725. The cubic root of 3405666264 is about 1504.5294591221.

The spelling of 3405666264 in words is "three billion, four hundred five million, six hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 141761 283522 425283 567044 850566 992327 1134088 1559371 1701132 1842893 1984654 2976981 3118742 3402264 3685786 3969308 4678113 5528679 5953962 6237484 7371572 7938616 9356226 10915597 11057358 11907924 12474968 12900251 14743144 18712452 20271823 21831194 22114716 23815848 25800502 32746791 37424904 38700753 40543646 43662388 44229432 51601004 60815469 65493582 77401506 81087292 87324776 103202008 121630938 130987164 141902761 154803012 162174584 243261876 261974328 283805522 309606024 425708283 486523752 567611044 851416566 1135222088 1702833132 3405666264