Search a number
-
+
290067744 = 25329313361
BaseRepresentation
bin10001010010100…
…001010100100000
3202012210222010210
4101102201110200
51043224131434
644441054120
710121351361
oct2122412440
9665728123
10290067744
1113981020a
1281187340
1348131025
142a749b68
151a6eaee9
hex114a1520

290067744 has 96 divisors (see below), whose sum is σ = 813335040. Its totient is φ = 90316800.

The previous prime is 290067727. The next prime is 290067751. The reversal of 290067744 is 447760092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2900677442 = 168278592218499072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84624 + ... + 87984.

It is an arithmetic number, because the mean of its divisors is an integer number (8472240).

Almost surely, 2290067744 is an apocalyptic number.

290067744 is a gapful number since it is divisible by the number (24) 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 290067744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406667520).

290067744 is an abundant number, since it is smaller than the sum of its proper divisors (523267296).

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

290067744 is a wasteful number, since it uses less digits than its factorization.

290067744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 290067744 is about 17031.3752821080. The cubic root of 290067744 is about 661.9621315615.

The spelling of 290067744 in words is "two hundred ninety million, sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2697 2784 2976 3361 3596 5394 6722 7192 10083 10788 13444 14384 20166 21576 26888 28768 40332 43152 53776 80664 86304 97469 104191 107552 161328 194938 208382 292407 312573 322656 389876 416764 584814 625146 779752 833528 1169628 1250292 1559504 1667056 2339256 2500584 3021539 3119008 3334112 4678512 5001168 6043078 9064617 9357024 10002336 12086156 18129234 24172312 36258468 48344624 72516936 96689248 145033872 290067744