Search a number
-
+
330357204 = 22343121061
BaseRepresentation
bin10011101100001…
…101100111010100
3212000121212220000
4103230031213110
51134032412304
652440411300
711120663352
oct2354154724
9760555800
10330357204
1115a529291
1292776b30
1353599548
1431c367d2
151e008939
hex13b0d9d4

330357204 has 90 divisors (see below), whose sum is σ = 893217402. Its totient is φ = 106466400.

The previous prime is 330357197. The next prime is 330357221. The reversal of 330357204 is 402753033.

It can be written as a sum of positive squares in only one way, i.e., 299220804 + 31136400 = 17298^2 + 5580^2 .

It is a super-3 number, since 3×3303572043 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 310834 + ... + 311894.

Almost surely, 2330357204 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 330357204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446608701).

330357204 is an abundant number, since it is smaller than the sum of its proper divisors (562860198).

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

330357204 is a wasteful number, since it uses less digits than its factorization.

330357204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 330357204 is about 18175.7311819910. The cubic root of 330357204 is about 691.2915695380.

The spelling of 330357204 in words is "three hundred thirty million, three hundred fifty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 961 1061 1116 1674 1922 2122 2511 2883 3183 3348 3844 4244 5022 5766 6366 8649 9549 10044 11532 12732 17298 19098 25947 28647 32891 34596 38196 51894 57294 65782 77841 85941 98673 103788 114588 131564 155682 171882 197346 296019 311364 343764 394692 592038 888057 1019621 1184076 1776114 2039242 2664171 3058863 3552228 4078484 5328342 6117726 9176589 10656684 12235452 18353178 27529767 36706356 55059534 82589301 110119068 165178602 330357204