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3304435104 = 2532431631637
BaseRepresentation
bin1100010011110101…
…1010110110100000
322112021212200210100
43010331122312200
523231413410404
61303521302400
7144613143405
oct30475326640
98467780710
103304435104
1114462a4003
12782794a00
134087a5c59
14234c122ac
1514517bd39
hexc4f5ada0

3304435104 has 144 divisors (see below), whose sum is σ = 9680422752. Its totient is φ = 1068609024.

The previous prime is 3304435091. The next prime is 3304435153. The reversal of 3304435104 is 4015344033.

3304435104 is a `hidden beast` number, since 3 + 304 + 4 + 351 + 0 + 4 = 666.

3304435104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 2017774 + ... + 2019410.

It is an arithmetic number, because the mean of its divisors is an integer number (67225158).

Almost surely, 23304435104 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 3304435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840211376).

3304435104 is an abundant number, since it is smaller than the sum of its proper divisors (6375987648).

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

3304435104 is a wasteful number, since it uses less digits than its factorization.

3304435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3304435104 is about 57484.2161292994. The cubic root of 3304435104 is about 1489.4722248313.

Adding to 3304435104 its reverse (4015344033), we get a palindrome (7319779137).

The spelling of 3304435104 in words is "three billion, three hundred four million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 163 172 258 288 326 344 387 489 516 652 688 774 978 1032 1304 1376 1467 1548 1637 1956 2064 2608 2934 3096 3274 3912 4128 4911 5216 5868 6192 6548 7009 7824 9822 11736 12384 13096 14018 14733 15648 19644 21027 23472 26192 28036 29466 39288 42054 46944 52384 56072 58932 63081 70391 78576 84108 112144 117864 126162 140782 157152 168216 211173 224288 235728 252324 266831 281564 336432 422346 471456 504648 533662 563128 633519 672864 800493 844692 1009296 1067324 1126256 1267038 1600986 1689384 2018592 2134648 2252512 2401479 2534076 3201972 3378768 4269296 4802958 5068152 6403944 6757536 8538592 9605916 10136304 11473733 12807888 19211832 20272608 22947466 25615776 34421199 38423664 45894932 68842398 76847328 91789864 103263597 137684796 183579728 206527194 275369592 367159456 413054388 550739184 826108776 1101478368 1652217552 3304435104