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330419152 = 2472421453
BaseRepresentation
bin10011101100011…
…100101111010000
3212000202000212101
4103230130233100
51134041403102
652442010144
711121342100
oct2354345720
9760660771
10330419152
1115a570888
12927a6954
13535bb7bb
1431c51200
151e01be87
hex13b1cbd0

330419152 has 30 divisors (see below), whose sum is σ = 744709218. Its totient is φ = 141607872.

The previous prime is 330419147. The next prime is 330419153. The reversal of 330419152 is 251914033.

It can be written as a sum of positive squares in only one way, i.e., 284124736 + 46294416 = 16856^2 + 6804^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330419152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330419153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209943 + ... + 211510.

Almost surely, 2330419152 is an apocalyptic number.

It is an amenable number.

330419152 is an abundant number, since it is smaller than the sum of its proper divisors (414290066).

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

330419152 is a wasteful number, since it uses less digits than its factorization.

330419152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421475 (or 421462 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 330419152 is about 18177.4352426298. The cubic root of 330419152 is about 691.3347767625.

The spelling of 330419152 in words is "three hundred thirty million, four hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 421453 842906 1685812 2950171 3371624 5900342 6743248 11800684 20651197 23601368 41302394 47202736 82604788 165209576 330419152