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3379971840 = 28357125743
BaseRepresentation
bin1100100101110110…
…0100011100000000
322201120000100201020
43021131210130000
523410233044330
61315220305440
7146521200210
oct31135443400
98646010636
103379971840
1114849a6963
127a3b42280
1341b33294b
14240c76240
1514baed210
hexc9764700

3379971840 has 144 divisors (see below), whose sum is σ = 12336995328. Its totient is φ = 772558848.

The previous prime is 3379971839. The next prime is 3379971853. The reversal of 3379971840 is 481799733.

It is a super-2 number, since 2×33799718402 = 22848419278385971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35992 + ... + 89751.

Almost surely, 23379971840 is an apocalyptic number.

3379971840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3379971840 is an abundant number, since it is smaller than the sum of its proper divisors (8957023488).

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

3379971840 is a wasteful number, since it uses less digits than its factorization.

3379971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125774 (or 125760 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 3379971840 is about 58137.5252311276. The cubic root of 3379971840 is about 1500.7362074955.

The spelling of 3379971840 in words is "three billion, three hundred seventy-nine million, nine hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 125743 251486 377229 502972 628715 754458 880201 1005944 1257430 1508916 1760402 1886145 2011888 2514860 2640603 3017832 3520804 3772290 4023776 4401005 5029720 5281206 6035664 7041608 7544580 8047552 8802010 10059440 10562412 12071328 13203015 14083216 15089160 16095104 17604020 20118880 21124824 24142656 26406030 28166432 30178320 32190208 35208040 40237760 42249648 48285312 52812060 56332864 60356640 70416080 80475520 84499296 96570624 105624120 112665728 120713280 140832160 160951040 168998592 211248240 225331456 241426560 281664320 337997184 422496480 482853120 563328640 675994368 844992960 1126657280 1689985920 3379971840