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330196944 = 243711412179
BaseRepresentation
bin10011101011100…
…110011111010000
3212000022202001110
4103223212133100
51134012300234
652433133320
711116425210
oct2353463720
9760282043
10330196944
1115a429940
12926ba240
135354160c
1431bd4240
151dec61e9
hex13ae67d0

330196944 has 160 divisors (see below), whose sum is σ = 1089930240. Its totient is φ = 83635200.

The previous prime is 330196921. The next prime is 330196973. The reversal of 330196944 is 449691033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150447 + ... + 152625.

It is an arithmetic number, because the mean of its divisors is an integer number (6812064).

Almost surely, 2330196944 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 330196944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544965120).

330196944 is an abundant number, since it is smaller than the sum of its proper divisors (759733296).

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

330196944 is a wasteful number, since it uses less digits than its factorization.

330196944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 330196944 is about 18171.3220212510. The cubic root of 330196944 is about 691.1797670153.

The spelling of 330196944 in words is "three hundred thirty million, one hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 984 1148 1232 1353 1722 1804 1848 1968 2179 2296 2706 3157 3444 3608 3696 4358 4592 5412 6314 6537 6888 7216 8716 9471 10824 12628 13074 13776 15253 17432 18942 21648 23969 25256 26148 30506 34864 37884 45759 47938 50512 52296 61012 71907 75768 89339 91518 95876 104592 122024 143814 151536 167783 178678 183036 191752 244048 268017 287628 335566 357356 366072 383504 503349 536034 575256 625373 671132 714712 732144 982729 1006698 1072068 1150512 1250746 1342264 1429424 1876119 1965458 2013396 2144136 2501492 2684528 2948187 3752238 3930916 4026792 4288272 5002984 5896374 6879103 7504476 7861832 8053584 10005968 11792748 13758206 15008952 15723664 20637309 23585496 27516412 30017904 41274618 47170992 55032824 82549236 110065648 165098472 330196944