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3904396344 = 233413814363
BaseRepresentation
bin1110100010111000…
…0101110000111000
3101002002210212220000
43220232011300320
530444011140334
61443232433000
7165516551502
oct35056056070
911062725800
103904396344
111723a25842
1290b6a8760
134a2b89cc4
14290788d72
1517cb8d299
hexe8b85c38

3904396344 has 80 divisors (see below), whose sum is σ = 10946352120. Its totient is φ = 1300224960.

The previous prime is 3904396337. The next prime is 3904396357. The reversal of 3904396344 is 4436934093.

3904396344 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 3 + 9 + 634 + 4 = 666.

It is a super-2 number, since 2×39043963442 = 30488621622081132672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3904396344.

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, 892707 + ... + 897069.

Almost surely, 23904396344 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 3904396344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473176060).

3904396344 is an abundant number, since it is smaller than the sum of its proper divisors (7041955776).

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

3904396344 is a wasteful number, since it uses less digits than its factorization.

3904396344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3904396344 is about 62485.1689923297. The cubic root of 3904396344 is about 1574.6521571973.

The spelling of 3904396344 in words is "three billion, nine hundred four million, three hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1381 2762 4143 4363 5524 8286 8726 11048 12429 13089 16572 17452 24858 26178 33144 34904 37287 39267 49716 52356 74574 78534 99432 104712 111861 117801 149148 157068 223722 235602 298296 314136 353403 447444 471204 706806 894888 942408 1413612 2827224 6025303 12050606 18075909 24101212 36151818 48202424 54227727 72303636 108455454 144607272 162683181 216910908 325366362 433821816 488049543 650732724 976099086 1301465448 1952198172 3904396344