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330092334 = 234111314249
BaseRepresentation
bin10011101011001…
…100111100101110
3212000010102120000
4103223030330232
51134000423314
652431005130
711115511215
oct2353147456
9760112500
10330092334
1115a368290
12926697a6
1353505b10
1431ba807c
151dea5209
hex13accf2e

330092334 has 80 divisors (see below), whose sum is σ = 869022000. Its totient is φ = 92327040.

The previous prime is 330092333. The next prime is 330092351. The reversal of 330092334 is 433290033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330092298 and 330092307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330092333) 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 39 ways as a sum of consecutive naturals, for example, 16042 + ... + 30290.

It is an arithmetic number, because the mean of its divisors is an integer number (10862775).

Almost surely, 2330092334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330092334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434511000).

330092334 is an abundant number, since it is smaller than the sum of its proper divisors (538929666).

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

330092334 is a wasteful number, since it uses less digits than its factorization.

330092334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 330092334 is about 18168.4433565454. The cubic root of 330092334 is about 691.1067682049.

The spelling of 330092334 in words is "three hundred thirty million, ninety-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 11583 14249 23166 28498 42747 85494 128241 156739 185237 256482 313478 370474 384723 470217 555711 769446 940434 1111422 1154169 1410651 1667133 2037607 2308338 2821302 3334266 4075214 4231953 5001399 6112821 8463906 10002798 12225642 12695859 15004197 18338463 25391718 30008394 36676926 55015389 110030778 165046167 330092334