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3682660380 = 2235764113679
BaseRepresentation
bin1101101110000000…
…1111000000011100
3100111122120112022220
43123200033000130
530020230113010
61405232105340
7160155045120
oct33340170034
910448515286
103682660380
11161a847283
12869395250
13468c623a9
1426d149580
1516848d970
hexdb80f01c

3682660380 has 96 divisors (see below), whose sum is σ = 11803760640. Its totient is φ = 840376320.

The previous prime is 3682660363. The next prime is 3682660391. The reversal of 3682660380 is 830662863.

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, 262381 + ... + 276059.

It is an arithmetic number, because the mean of its divisors is an integer number (122955840).

Almost surely, 23682660380 is an apocalyptic number.

3682660380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682660380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901880320).

3682660380 is an abundant number, since it is smaller than the sum of its proper divisors (8121100260).

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

3682660380 is a wasteful number, since it uses less digits than its factorization.

3682660380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3682660380 is about 60684.9271236277. The cubic root of 3682660380 is about 1544.2604770303.

The spelling of 3682660380 in words is "three billion, six hundred eighty-two million, six hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 641 1282 1923 2564 3205 3846 4487 6410 7692 8974 9615 12820 13461 13679 17948 19230 22435 26922 27358 38460 41037 44870 53844 54716 67305 68395 82074 89740 95753 134610 136790 164148 191506 205185 269220 273580 287259 383012 410370 478765 574518 820740 957530 1149036 1436295 1915060 2872590 5745180 8768239 17536478 26304717 35072956 43841195 52609434 61377673 87682390 105218868 122755346 131523585 175364780 184133019 245510692 263047170 306888365 368266038 526094340 613776730 736532076 920665095 1227553460 1841330190 3682660380