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7413734328 = 23371113308597
BaseRepresentation
bin1101110011110010…
…01001101110111000
3201010200020201120220
412321321021232320
5110140403444303
63223354020040
7351501462540
oct67171115670
921120221526
107413734328
113164950370
12152aa17620
13911c45a60
14504898320
152d5ce2053
hex1b9e49bb8

7413734328 has 128 divisors (see below), whose sum is σ = 24885342720. Its totient is φ = 1777512960.

The previous prime is 7413734311. The next prime is 7413734353. The reversal of 7413734328 is 8234373147.

It is a happy number.

It is a super-2 number, since 2×74137343282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7413734328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130275 + ... + 178322.

It is an arithmetic number, because the mean of its divisors is an integer number (194416740).

Almost surely, 27413734328 is an apocalyptic number.

7413734328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7413734328 is an abundant number, since it is smaller than the sum of its proper divisors (17471608392).

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

7413734328 is a wasteful number, since it uses less digits than its factorization.

7413734328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308637 (or 308633 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 7413734328 is about 86103.0448242105. The cubic root of 7413734328 is about 1949.9000017097.

The spelling of 7413734328 in words is "seven billion, four hundred thirteen million, seven hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 308597 617194 925791 1234388 1851582 2160179 2468776 3394567 3703164 4011761 4320358 6480537 6789134 7406328 8023522 8640716 10183701 12035283 12961074 13578268 16047044 17281432 20367402 23761969 24070566 25922148 27156536 28082327 32094088 40734804 44129371 47523938 48141132 51844296 56164654 71285907 81469608 84246981 88258742 95047876 96282264 112329308 132388113 142571814 168493962 176517484 190095752 224658616 264776226 285143628 308905597 336987924 353034968 529552452 570287256 617811194 673975848 926716791 1059104904 1235622388 1853433582 2471244776 3706867164 7413734328