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3304949120 = 275112320411
BaseRepresentation
bin1100010011111101…
…1000010110000000
322112022211210212222
43010333120112000
523232031332440
61303540310212
7144620414114
oct30477302600
98468753788
103304949120
111446615210
127829a2368
13408925bc5
14234d07744
1514522e2b5
hexc4fd8580

3304949120 has 128 divisors (see below), whose sum is σ = 8994343680. Its totient is φ = 1149491200.

The previous prime is 3304949117. The next prime is 3304949161. The reversal of 3304949120 is 219494033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151715 + ... + 172125.

It is an arithmetic number, because the mean of its divisors is an integer number (70268310).

Almost surely, 23304949120 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 3304949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497171840).

3304949120 is an abundant number, since it is smaller than the sum of its proper divisors (5689394560).

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

3304949120 is a wasteful number, since it uses less digits than its factorization.

3304949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20464 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3304949120 is about 57488.6868870737. The cubic root of 3304949120 is about 1489.5494516327.

The spelling of 3304949120 in words is "three billion, three hundred four million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1408 1472 1760 1840 2024 2530 2944 3520 3680 4048 5060 7040 7360 8096 10120 14720 16192 20240 20411 32384 40480 40822 80960 81644 102055 161920 163288 204110 224521 326576 408220 449042 469453 653152 816440 898084 938906 1122605 1306304 1632880 1796168 1877812 2245210 2347265 2612608 3265760 3592336 3755624 4490420 4694530 5163983 6531520 7184672 7511248 8980840 9389060 10327966 13063040 14369344 15022496 17961680 18778120 20655932 25819915 28738688 30044992 35923360 37556240 41311864 51639830 60089984 71846720 75112480 82623728 103279660 143693440 150224960 165247456 206559320 300449920 330494912 413118640 660989824 826237280 1652474560 3304949120