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330696072 = 233271673929
BaseRepresentation
bin10011101101100…
…000010110001000
3212001021002201200
4103231200112020
51134124233242
652451544200
711123604330
oct2355402610
9761232650
10330696072
1115a73a943
12928bb060
1353687865
1431cc40c0
151e07404c
hex13b60588

330696072 has 96 divisors (see below), whose sum is σ = 1029974400. Its totient is φ = 93894912.

The previous prime is 330696031. The next prime is 330696073. The reversal of 330696072 is 270696033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (330696073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82204 + ... + 86132.

It is an arithmetic number, because the mean of its divisors is an integer number (10728900).

Almost surely, 2330696072 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 330696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514987200).

330696072 is an abundant number, since it is smaller than the sum of its proper divisors (699278328).

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

330696072 is a wasteful number, since it uses less digits than its factorization.

330696072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 330696072 is about 18185.0507835420. The cubic root of 330696072 is about 691.5278557328.

The spelling of 330696072 in words is "three hundred thirty million, six hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 1002 1169 1336 1503 2004 2338 3006 3507 3929 4008 4676 6012 7014 7858 9352 10521 11787 12024 14028 15716 21042 23574 27503 28056 31432 35361 42084 47148 55006 70722 82509 84168 94296 110012 141444 165018 220024 247527 282888 330036 495054 656143 660072 990108 1312286 1968429 1980216 2624572 3936858 4593001 5249144 5905287 7873716 9186002 11810574 13779003 15747432 18372004 23621148 27558006 36744008 41337009 47242296 55116012 82674018 110232024 165348036 330696072