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3315058740 = 2232572375857
BaseRepresentation
bin1100010110010111…
…1100100000110100
322120000212102200100
43011211330200310
523242123334430
61304541114100
7145102351200
oct30545744064
98500772610
103315058740
11145129a774
12786258930
1340aa55626
142363b9b00
15146079960
hexc597c834

3315058740 has 108 divisors (see below), whose sum is σ = 11697452676. Its totient is φ = 757725696.

The previous prime is 3315058709. The next prime is 3315058753. The reversal of 3315058740 is 478505133.

3315058740 is a `hidden beast` number, since 3 + 31 + 5 + 0 + 587 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343064484 + 2971994256 = 18522^2 + 54516^2 .

It is a super-2 number, since 2×33150587402 = 21979228899300775200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3315058695 and 3315058704.

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, 179109 + ... + 196748.

It is an arithmetic number, because the mean of its divisors is an integer number (108309747).

Almost surely, 23315058740 is an apocalyptic number.

3315058740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3315058740 is an abundant number, since it is smaller than the sum of its proper divisors (8382393936).

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

3315058740 is a wasteful number, since it uses less digits than its factorization.

3315058740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375886 (or 375874 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3315058740 is about 57576.5467877329. The cubic root of 3315058740 is about 1491.0667165809.

The spelling of 3315058740 in words is "three billion, three hundred fifteen million, fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 375857 751714 1127571 1503428 1879285 2255142 2630999 3382713 3758570 4510284 5261998 5637855 6765426 7517140 7892997 10523996 11275710 13154995 13530852 15785994 16913565 18416993 22551420 23678991 26309990 31571988 33827130 36833986 39464985 47357982 52619980 55250979 67654260 73667972 78929970 92084965 94715964 110501958 118394955 157859940 165752937 184169930 221003916 236789910 276254895 331505874 368339860 473579820 552509790 663011748 828764685 1105019580 1657529370 3315058740