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3393904896 = 28321473049
BaseRepresentation
bin1100101001001010…
…1110000100000000
322202112020020021100
43022102232010000
523422314424041
61320435054400
7150050500314
oct31222560400
98675206240
103393904896
111491852a88
127a8741400
134211a0765
14242a61b44
1514ce516b6
hexca4ae100

3393904896 has 54 divisors (see below), whose sum is σ = 9785471150. Its totient is φ = 1131300864.

The previous prime is 3393904757. The next prime is 3393904897. The reversal of 3393904896 is 6984093933.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3100262400 + 293642496 = 55680^2 + 17136^2 .

It is not an unprimeable number, because it can be changed into a prime (3393904897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 734221 + ... + 738828.

Almost surely, 23393904896 is an apocalyptic number.

3393904896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3393904896 is an abundant number, since it is smaller than the sum of its proper divisors (6391566254).

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

3393904896 is a wasteful number, since it uses less digits than its factorization.

3393904896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473071 (or 1473054 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3393904896 is about 58257.2304182065. The cubic root of 3393904896 is about 1502.7955121713.

The spelling of 3393904896 in words is "three billion, three hundred ninety-three million, nine hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1473049 2946098 4419147 5892196 8838294 11784392 13257441 17676588 23568784 26514882 35353176 47137568 53029764 70706352 94275136 106059528 141412704 188550272 212119056 282825408 377100544 424238112 565650816 848476224 1131301632 1696952448 3393904896