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3740653840 = 245711607249
BaseRepresentation
bin1101111011110101…
…1101100100010000
3100122200200220101211
43132331131210100
530130101410330
61415103105504
7161461014220
oct33675354420
910580626354
103740653840
11164a557660
128848a2294
13477c88c51
14276b24080
1516d5e6d2a
hexdef5d910

3740653840 has 80 divisors (see below), whose sum is σ = 10843056000. Its totient is φ = 1165916160.

The previous prime is 3740653811. The next prime is 3740653841. The reversal of 3740653840 is 483560473.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3740653793 and 3740653802.

It is not an unprimeable number, because it can be changed into a prime (3740653841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297465 + ... + 309784.

It is an arithmetic number, because the mean of its divisors is an integer number (135538200).

Almost surely, 23740653840 is an apocalyptic number.

It is an amenable number.

3740653840 is an abundant number, since it is smaller than the sum of its proper divisors (7102402160).

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

3740653840 is a wasteful number, since it uses less digits than its factorization.

3740653840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607280 (or 607274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3740653840 is about 61160.8848856849. The cubic root of 3740653840 is about 1552.3244817881.

The spelling of 3740653840 in words is "three billion, seven hundred forty million, six hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 607249 1214498 2428996 3036245 4250743 4857992 6072490 6679739 8501486 9715984 12144980 13359478 17002972 21253715 24289960 26718956 33398695 34005944 42507430 46758173 48579920 53437912 66797390 68011888 85014860 93516346 106875824 133594780 170029720 187032692 233790865 267189560 340059440 374065384 467581730 534379120 748130768 935163460 1870326920 3740653840