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330129936 = 243217134857
BaseRepresentation
bin10011101011010…
…110001000010000
3212000012100010200
4103223112020100
51134003124221
652431455200
711116025643
oct2353261020
9760170120
10330129936
1115a393564
1292687500
1353519c76
1431bb7a5a
151deb1426
hex13ad6210

330129936 has 60 divisors (see below), whose sum is σ = 978259932. Its totient is φ = 103569408.

The previous prime is 330129929. The next prime is 330129949. The reversal of 330129936 is 639921033.

It is a happy number.

330129936 is a `hidden beast` number, since 330 + 1 + 299 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127238400 + 202891536 = 11280^2 + 14244^2 .

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 330129936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64981 + ... + 69876.

Almost surely, 2330129936 is an apocalyptic number.

330129936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

330129936 is an abundant number, since it is smaller than the sum of its proper divisors (648129996).

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

330129936 is a wasteful number, since it uses less digits than its factorization.

330129936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134888 (or 134879 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 330129936 is about 18169.4781433040. The cubic root of 330129936 is about 691.1330093576.

The spelling of 330129936 in words is "three hundred thirty million, one hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 134857 269714 404571 539428 809142 1078856 1213713 1618284 2157712 2292569 2427426 3236568 4585138 4854852 6473136 6877707 9170276 9709704 13755414 18340552 19419408 20633121 27510828 36681104 41266242 55021656 82532484 110043312 165064968 330129936