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330052040 = 235193114009
BaseRepresentation
bin10011101011000…
…011000111001000
3212000001101021122
4103223003013020
51133443131130
652430054412
711115252563
oct2353030710
9760041248
10330052040
1115a33aa8a
129264a408
13534c0686
1431b974da
151de982e5
hex13ac31c8

330052040 has 64 divisors (see below), whose sum is σ = 806976000. Its totient is φ = 121029120.

The previous prime is 330052039. The next prime is 330052057. The reversal of 330052040 is 40250033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16556 + ... + 30564.

It is an arithmetic number, because the mean of its divisors is an integer number (12609000).

Almost surely, 2330052040 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 330052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403488000).

330052040 is an abundant number, since it is smaller than the sum of its proper divisors (476923960).

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

330052040 is a wasteful number, since it uses less digits than its factorization.

330052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 330052040 is about 18167.3344219784. The cubic root of 330052040 is about 691.0786461853.

The spelling of 330052040 in words is "three hundred thirty million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 14009 23560 28018 56036 70045 112072 140090 266171 280180 434279 532342 560360 868558 1064684 1330855 1737116 2129368 2171395 2661710 3474232 4342790 5323420 8251301 8685580 10646840 16502602 17371160 33005204 41256505 66010408 82513010 165026020 330052040