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330294276 = 22321322332
BaseRepresentation
bin10011101011111…
…110010000000100
3212000111200120100
4103223332100010
51134023404101
652435204100
711120312034
oct2353762004
9760450510
10330294276
1115a495a84
1292746630
1353576a00
1431c1b8c4
151dee4e86
hex13afe404

330294276 has 81 divisors (see below), whose sum is σ = 907971519. Its totient is φ = 101192832.

The previous prime is 330294269. The next prime is 330294277. The reversal of 330294276 is 672492033.

It is a happy number.

The square root of 330294276 is 18174.

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

It can be written as a sum of positive squares in 4 ways, for example, as 139854276 + 190440000 = 11826^2 + 13800^2 .

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 330294276.

It is not an unprimeable number, because it can be changed into a prime (330294277) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1417456 + ... + 1417688.

Almost surely, 2330294276 is an apocalyptic number.

330294276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

330294276 is the 18174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330294276

330294276 is an abundant number, since it is smaller than the sum of its proper divisors (577677243).

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

330294276 is a wasteful number, since it uses less digits than its factorization.

330294276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 330294276 is about 691.2476732566.

Multiplying 330294276 by its sum of digits (36), we get a square (11890593936 = 1090442).

330294276 divided by its sum of digits (36) gives a square (9174841 = 30292).

The spelling of 330294276 in words is "three hundred thirty million, two hundred ninety-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 233 234 338 466 468 507 676 699 932 1014 1398 1521 2028 2097 2796 3029 3042 4194 6058 6084 8388 9087 12116 18174 27261 36348 39377 54289 54522 78754 108578 109044 118131 157508 162867 217156 236262 325734 354393 472524 488601 651468 705757 708786 977202 1411514 1417572 1954404 2117271 2823028 4234542 6351813 8469084 9174841 12703626 18349682 25407252 27524523 36699364 55049046 82573569 110098092 165147138 330294276