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3082640904 = 233271132479
BaseRepresentation
bin1011011110111101…
…0101111000001000
321221211112101100100
42313233111320020
522303124002104
61225515405400
7136251005160
oct26757257010
97854471310
103082640904
111342085812
12720453860
133a185a995
142135995a0
1513096a139
hexb7bd5e08

3082640904 has 144 divisors (see below), whose sum is σ = 9646790400. Its totient is φ = 871137792.

The previous prime is 3082640893. The next prime is 3082640929. The reversal of 3082640904 is 4090462803.

It is a happy number.

3082640904 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 640 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6435337 + ... + 6435815.

It is an arithmetic number, because the mean of its divisors is an integer number (66991600).

Almost surely, 23082640904 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 3082640904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823395200).

3082640904 is an abundant number, since it is smaller than the sum of its proper divisors (6564149496).

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

3082640904 is a wasteful number, since it uses less digits than its factorization.

3082640904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3082640904 is about 55521.5354974986. The cubic root of 3082640904 is about 1455.3729953850.

The spelling of 3082640904 in words is "three billion, eighty-two million, six hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 479 504 678 791 904 958 1017 1356 1437 1582 1916 2034 2373 2712 2874 3164 3353 3832 4068 4311 4746 5748 6328 6706 7119 8136 8622 9492 10059 11496 12769 13412 14238 17244 18984 20118 25538 26824 28476 30177 34488 38307 40236 51076 54127 56952 60354 76614 80472 89383 102152 108254 114921 120708 153228 162381 178766 216508 229842 241416 268149 306456 324762 357532 378889 433016 459684 487143 536298 649524 715064 757778 804447 919368 974286 1072596 1136667 1299048 1515556 1608894 1948572 2145192 2273334 3031112 3217788 3410001 3897144 4546668 6116351 6435576 6820002 9093336 12232702 13640004 18349053 24465404 27280008 36698106 42814457 48930808 55047159 73396212 85628914 110094318 128443371 146792424 171257828 220188636 256886742 342515656 385330113 440377272 513773484 770660226 1027546968 1541320452 3082640904