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290397393 = 35111361137
BaseRepresentation
bin10001010011110…
…001110011010001
3202020102201100000
4101103301303101
51043320204033
644452120213
710124223426
oct2123616321
9666381300
10290397393
11139a15950
1281306069
13482180a0
142a7d3d4d
151a763a13
hex114f1cd1

290397393 has 96 divisors (see below), whose sum is σ = 523216512. Its totient is φ = 158630400.

The previous prime is 290397391. The next prime is 290397403. The reversal of 290397393 is 393793092.

It is not a de Polignac number, because 290397393 - 21 = 290397391 is a prime.

It is a super-2 number, since 2×2903973932 = 168661291722392898, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290397391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2119621 + ... + 2119757.

It is an arithmetic number, because the mean of its divisors is an integer number (5450172).

Almost surely, 2290397393 is an apocalyptic number.

It is an amenable number.

290397393 is a deficient number, since it is larger than the sum of its proper divisors (232819119).

290397393 is a wasteful number, since it uses less digits than its factorization.

290397393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 290397393 is about 17041.0502317199. The cubic root of 290397393 is about 662.2128000662.

The spelling of 290397393 in words is "two hundred ninety million, three hundred ninety-seven thousand, three hundred ninety-three".

Divisors: 1 3 9 11 13 27 33 39 61 81 99 117 137 143 183 243 297 351 411 429 549 671 793 891 1053 1233 1287 1507 1647 1781 2013 2379 2673 3159 3699 3861 4521 4941 5343 6039 7137 8357 8723 11097 11583 13563 14823 16029 18117 19591 21411 25071 26169 33291 34749 40689 48087 54351 58773 64233 75213 78507 91927 108641 122067 144261 163053 176319 192699 225639 235521 275781 325923 366201 432783 528957 676917 706563 827343 977769 1195051 1586871 2030751 2119689 2482029 2933307 3585153 4760613 7446087 8799921 10755459 22338261 26399763 32266377 96799131 290397393