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3381448896 = 26337279551
BaseRepresentation
bin1100100110001100…
…1101000011000000
322201122210101212000
43021203031003000
523411122331041
61315312104000
7146536561410
oct31143150300
98648711760
103381448896
111485815671
127a4535000
1341b72c047
1424113c640
1514bce0bb6
hexc98cd0c0

3381448896 has 112 divisors (see below), whose sum is σ = 11360993280. Its totient is φ = 966124800.

The previous prime is 3381448877. The next prime is 3381448927. The reversal of 3381448896 is 6988441833.

3381448896 is a `hidden beast` number, since 33 + 81 + 448 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33814488962 = 22868393272519237632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 127680 + ... + 151871.

It is an arithmetic number, because the mean of its divisors is an integer number (101437440).

Almost surely, 23381448896 is an apocalyptic number.

3381448896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3381448896 is an abundant number, since it is smaller than the sum of its proper divisors (7979544384).

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

3381448896 is a wasteful number, since it uses less digits than its factorization.

3381448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279579 (or 279563 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3381448896 is about 58150.2269643034. The cubic root of 3381448896 is about 1500.9547841292.

The spelling of 3381448896 in words is "three billion, three hundred eighty-one million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 279551 559102 838653 1118204 1677306 1956857 2236408 2515959 3354612 3913714 4472816 5031918 5870571 6709224 7547877 7827428 8945632 10063836 11741142 13418448 15095754 15654856 17611713 17891264 20127672 23482284 26836896 30191508 31309712 35223426 40255344 46964568 52835139 53673792 60383016 62619424 70446852 80510688 93929136 105670278 120766032 125238848 140893704 161021376 187858272 211340556 241532064 281787408 375716544 422681112 483064128 563574816 845362224 1127149632 1690724448 3381448896