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3684075304 = 23713171092731
BaseRepresentation
bin1101101110010110…
…1000011100101000
3100111202020102020111
43123211220130220
530021110402204
61405322304104
7160203060220
oct33345503450
910452212214
103684075304
111620623338
12869958034
13469339420
1426d3d7080
1516866cd04
hexdb968728

3684075304 has 128 divisors (see below), whose sum is σ = 9087724800. Its totient is φ = 1358622720.

The previous prime is 3684075257. The next prime is 3684075331. The reversal of 3684075304 is 4035704863.

3684075304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1347619 + ... + 1350349.

It is an arithmetic number, because the mean of its divisors is an integer number (70997850).

Almost surely, 23684075304 is an apocalyptic number.

3684075304 is a gapful number since it is divisible by the number (34) 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 3684075304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543862400).

3684075304 is an abundant number, since it is smaller than the sum of its proper divisors (5403649496).

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

3684075304 is a wasteful number, since it uses less digits than its factorization.

3684075304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2879 counting only the distinct ones).

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

The square root of 3684075304 is about 60696.5839565951. The cubic root of 3684075304 is about 1544.4582264116.

The spelling of 3684075304 in words is "three billion, six hundred eighty-four million, seventy-five thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 109 119 136 182 218 221 238 364 436 442 476 728 763 872 884 952 1417 1526 1547 1768 1853 2731 2834 3052 3094 3706 5462 5668 6104 6188 7412 9919 10924 11336 12376 12971 14824 19117 19838 21848 24089 25942 35503 38234 39676 46427 48178 51884 71006 76468 79352 92854 96356 103768 142012 152936 168623 185708 192712 248521 284024 297679 324989 337246 371416 497042 595358 603551 649978 674492 994084 1190716 1207102 1299956 1348984 1988168 2083753 2381432 2414204 2599912 3869827 4167506 4224857 4828408 5060543 7739654 8335012 8449714 10121086 15479308 16670024 16899428 20242172 27088789 30958616 33798856 35423801 40484344 54177578 65787059 70847602 108355156 131574118 141695204 216710312 263148236 283390408 460509413 526296472 921018826 1842037652 3684075304