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690311808 = 2734139479
BaseRepresentation
bin101001001001010…
…101001010000000
31210002221110210000
4221021111022000
52403204434213
6152255440000
723051360604
oct5111251200
91702843700
10690311808
1132473252a
12173226000
13b0029734
1467975504
154090bc73
hex29255280

690311808 has 160 divisors (see below), whose sum is σ = 2073456000. Its totient is φ = 227971584.

The previous prime is 690311779. The next prime is 690311861. The reversal of 690311808 is 808113096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1440913 + ... + 1441391.

It is an arithmetic number, because the mean of its divisors is an integer number (12959100).

Almost surely, 2690311808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728000).

690311808 is an abundant number, since it is smaller than the sum of its proper divisors (1383144192).

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

690311808 is a wasteful number, since it uses less digits than its factorization.

690311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 690311808 is about 26273.7855666061. The cubic root of 690311808 is about 883.7886789020.

The spelling of 690311808 in words is "six hundred ninety million, three hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 278 288 324 384 417 432 479 556 576 648 834 864 958 1112 1152 1251 1296 1437 1668 1728 1916 2224 2502 2592 2874 3336 3456 3753 3832 4311 4448 5004 5184 5748 6672 7506 7664 8622 8896 10008 10368 11259 11496 12933 13344 15012 15328 17244 17792 20016 22518 22992 25866 26688 30024 30656 34488 38799 40032 45036 45984 51732 53376 60048 61312 66581 68976 77598 80064 90072 91968 103464 120096 133162 137952 155196 160128 180144 183936 199743 206928 240192 266324 275904 310392 360288 399486 413856 480384 532648 551808 599229 620784 720576 798972 827712 1065296 1198458 1241568 1441152 1597944 1655424 1797687 2130592 2396916 2483136 3195888 3595374 4261184 4793832 4966272 5393061 6391776 7190748 8522368 9587664 10786122 12783552 14381496 19175328 21572244 25567104 28762992 38350656 43144488 57525984 76701312 86288976 115051968 172577952 230103936 345155904 690311808