Search a number
-
+
330920436 = 2237111721067
BaseRepresentation
bin10011101110010…
…111000111110100
3212001200111111110
4103232113013310
51134203423221
652500435020
711125530420
oct2356270764
9761614443
10330920436
1115a883470
12929a8a70
1353735a12
1431d41b80
151e0ba776
hex13b971f4

330920436 has 96 divisors (see below), whose sum is σ = 1019354112. Its totient is φ = 80893440.

The previous prime is 330920431. The next prime is 330920477. The reversal of 330920436 is 634029033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330920431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5175 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (10618272).

Almost surely, 2330920436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330920436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509677056).

330920436 is an abundant number, since it is smaller than the sum of its proper divisors (688433676).

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

330920436 is a wasteful number, since it uses less digits than its factorization.

330920436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21109 (or 21107 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 330920436 is about 18191.2186507666. The cubic root of 330920436 is about 691.6842116677.

Adding to 330920436 its reverse (634029033), we get a palindrome (964949469).

The spelling of 330920436 in words is "three hundred thirty million, nine hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 21067 42134 63201 84268 126402 147469 231737 252804 294938 358139 442407 463474 589876 695211 716278 884814 926948 1074417 1390422 1432556 1622159 1769628 2148834 2506973 2780844 3244318 3939529 4297668 4866477 5013946 6488636 7520919 7879058 9732954 10027892 11818587 15041838 15758116 19465908 23637174 27576703 30083676 47274348 55153406 82730109 110306812 165460218 330920436