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3304734480 = 2432541111949
BaseRepresentation
bin1100010011111010…
…0011111100010000
322112022102220110100
43010332203330100
523232003000410
61303531532400
7144615531255
oct30476437420
98468386410
103304734480
111446488a23
127828ba100
1340887c2b8
14234c8d42c
151451da8c0
hexc4fa3f10

3304734480 has 120 divisors (see below), whose sum is σ = 11369194200. Its totient is φ = 859760640.

The previous prime is 3304734479. The next prime is 3304734497. The reversal of 3304734480 is 844374033.

It is a happy number.

3304734480 is a `hidden beast` number, since 3 + 304 + 7 + 344 + 8 + 0 = 666.

3304734480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 337971456 + 2966763024 = 18384^2 + 54468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26455 + ... + 85494.

It is an arithmetic number, because the mean of its divisors is an integer number (94743285).

Almost surely, 23304734480 is an apocalyptic number.

3304734480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3304734480 is an abundant number, since it is smaller than the sum of its proper divisors (8064459720).

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

3304734480 is a wasteful number, since it uses less digits than its factorization.

3304734480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112009 (or 112000 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3304734480 is about 57486.8200546873. The cubic root of 3304734480 is about 1489.5172046596.

The spelling of 3304734480 in words is "three billion, three hundred four million, seven hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 111949 223898 335847 447796 559745 671694 895592 1007541 1119490 1343388 1679235 1791184 2015082 2238980 2686776 3358470 4030164 4477960 4589909 5037705 5373552 6716940 8060328 8955920 9179818 10075410 13433880 13769727 16120656 18359636 20150820 22949545 26867760 27539454 36719272 40301640 41309181 45899090 55078908 68848635 73438544 80603280 82618362 91798180 110157816 137697270 165236724 183596360 206545905 220315632 275394540 330473448 367192720 413091810 550789080 660946896 826183620 1101578160 1652367240 3304734480