Search a number
-
+
305690256 = 2432312472
BaseRepresentation
bin10010001110000…
…111011010010000
3210022012200012100
4102032013122100
51111224042011
650200000400
710401216144
oct2216073220
9708180170
10305690256
11147610683
1286460100
134b440b11
142c855224
151bc84d56
hex12387690

305690256 has 135 divisors (see below), whose sum is σ = 903204003. Its totient is φ = 96511680.

The previous prime is 305690239. The next prime is 305690267. The reversal of 305690256 is 652096503.

The square root of 305690256 is 17484.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×3056902562 = 186893065226691072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 305690256.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6504025 + ... + 6504071.

Almost surely, 2305690256 is an apocalyptic number.

305690256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

305690256 is the 17484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305690256

305690256 is an abundant number, since it is smaller than the sum of its proper divisors (597513747).

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

305690256 is a wasteful number, since it uses less digits than its factorization.

305690256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 305690256 is about 673.6389628653.

Multiplying 305690256 by its sum of digits (36), we get a square (11004849216 = 1049042).

305690256 divided by its sum of digits (36) gives a square (8491396 = 29142).

It can be divided in two parts, 305 and 690256, that added together give a square (690561 = 8312).

The spelling of 305690256 in words is "three hundred five million, six hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 47 48 62 72 93 94 124 141 144 186 188 248 279 282 372 376 423 496 558 564 744 752 846 961 1116 1128 1457 1488 1692 1922 2209 2232 2256 2883 2914 3384 3844 4371 4418 4464 5766 5828 6627 6768 7688 8649 8742 8836 11532 11656 13113 13254 15376 17298 17484 17672 19881 23064 23312 26226 26508 34596 34968 35344 39762 45167 46128 52452 53016 68479 69192 69936 79524 90334 104904 106032 135501 136958 138384 159048 180668 205437 209808 271002 273916 318096 361336 406503 410874 542004 547832 616311 722672 813006 821748 1084008 1095664 1232622 1626012 1643496 2122849 2168016 2465244 3252024 3286992 4245698 4930488 6368547 6504048 8491396 9860976 12737094 16982792 19105641 25474188 33965584 38211282 50948376 76422564 101896752 152845128 305690256