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290405388 = 223713733643
BaseRepresentation
bin10001010011110…
…011110000001100
3202020110010022010
4101103303300030
51043320433023
644452221220
710124255640
oct2123636014
9666403263
10290405388
11139a20959
128130a810
134821b910
142a7d6c20
151a766093
hex114f3c0c

290405388 has 96 divisors (see below), whose sum is σ = 845641216. Its totient is φ = 75520512.

The previous prime is 290405371. The next prime is 290405393. The reversal of 290405388 is 883504092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77895 + ... + 81537.

Almost surely, 2290405388 is an apocalyptic number.

290405388 is a gapful number since it is divisible by the number (28) 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 290405388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422820608).

290405388 is an abundant number, since it is smaller than the sum of its proper divisors (555235828).

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

290405388 is a wasteful number, since it uses less digits than its factorization.

290405388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 290405388 is about 17041.2848107178. The cubic root of 290405388 is about 662.2188771900.

The spelling of 290405388 in words is "two hundred ninety million, four hundred five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 273 292 364 438 511 546 876 949 1022 1092 1533 1898 2044 2847 3066 3643 3796 5694 6132 6643 7286 10929 11388 13286 14572 19929 21858 25501 26572 39858 43716 47359 51002 76503 79716 94718 102004 142077 153006 189436 265939 284154 306012 331513 531878 568308 663026 797817 994539 1063756 1326052 1595634 1861573 1989078 3191268 3457207 3723146 3978156 5584719 6914414 7446292 10371621 11169438 13828828 20743242 22338876 24200449 41486484 48400898 72601347 96801796 145202694 290405388