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3393931104 = 25345922193
BaseRepresentation
bin1100101001001011…
…0100011101100000
322202112021120020000
43022102310131200
523422321243404
61320435420000
7150050636604
oct31222643540
98675246200
103393931104
111491870743
127a8754600
134211ac675
14242a6b504
1514ce59339
hexca4b4760

3393931104 has 120 divisors (see below), whose sum is σ = 10151091720. Its totient is φ = 1112085504.

The previous prime is 3393931097. The next prime is 3393931117. The reversal of 3393931104 is 4011393933.

3393931104 is a `hidden beast` number, since 339 + 3 + 9 + 311 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141832 + ... + 164024.

It is an arithmetic number, because the mean of its divisors is an integer number (84592431).

Almost surely, 23393931104 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 3393931104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075545860).

3393931104 is an abundant number, since it is smaller than the sum of its proper divisors (6757160616).

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

3393931104 is a wasteful number, since it uses less digits than its factorization.

3393931104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3393931104 is about 58257.4553512252. The cubic root of 3393931104 is about 1502.7993803963.

The spelling of 3393931104 in words is "three billion, three hundred ninety-three million, nine hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 22193 25488 38232 44386 50976 66579 76464 88772 133158 152928 177544 199737 266316 355088 399474 532632 599211 710176 798948 1065264 1198422 1309387 1597896 1797633 2130528 2396844 2618774 3195792 3595266 3928161 4793688 5237548 6391584 7190532 7856322 9587376 10475096 11784483 14381064 15712644 19174752 20950192 23568966 28762128 31425288 35353449 41900384 47137932 57524256 62850576 70706898 94275864 106060347 125701152 141413796 188551728 212120694 282827592 377103456 424241388 565655184 848482776 1131310368 1696965552 3393931104