Search a number
-
+
330345325530 = 2325111279260893
BaseRepresentation
bin1001100111010100001…
…11011010001111011010
31011120200100000021200200
410303222013122033122
520403021400404110
6411431502443030
732603156636223
oct4635207321732
91146610007620
10330345325530
1111810a362530
1254033b93476
13251c790132c
1411dbb39c24a
1588d679b6c0
hex4cea1da3da

330345325530 has 96 divisors (see below), whose sum is σ = 937715650560. Its totient is φ = 80020794240.

The previous prime is 330345325441. The next prime is 330345325553. The reversal of 330345325530 is 35523543033.

330345325530 is a `hidden beast` number, since 3 + 30 + 3 + 45 + 32 + 553 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135764 + ... + 1396656.

It is an arithmetic number, because the mean of its divisors is an integer number (9767871360).

Almost surely, 2330345325530 is an apocalyptic number.

330345325530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330345325530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468857825280).

330345325530 is an abundant number, since it is smaller than the sum of its proper divisors (607370325030).

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

330345325530 is a wasteful number, since it uses less digits than its factorization.

330345325530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262196 (or 262193 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 36.

Adding to 330345325530 its reverse (35523543033), we get a palindrome (365868868563).

The spelling of 330345325530 in words is "three hundred thirty billion, three hundred forty-five million, three hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1279 2558 3837 6395 7674 11511 12790 14069 19185 23022 28138 38370 42207 57555 70345 84414 115110 126621 140690 211035 253242 260893 422070 521786 633105 782679 1266210 1304465 1565358 2348037 2608930 2869823 3913395 4696074 5739646 7826790 8609469 11740185 14349115 17218938 23480370 25828407 28698230 43047345 51656814 86094690 129142035 258284070 333682147 667364294 1001046441 1668410735 2002092882 3003139323 3336821470 3670503617 5005232205 6006278646 7341007234 10010464410 11011510851 15015696615 18352518085 22023021702 30031393230 33034532553 36705036170 55057554255 66069065106 110115108510 165172662765 330345325530