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3321394048 = 27724331223
BaseRepresentation
bin1100010111111000…
…0111001110000000
322120110210022002101
43011332013032000
523300234102143
61305325000144
7145210245400
oct30576071600
98513708071
103321394048
111454927565
127883b3054
1340c16312b
14237188800
151468cbb4d
hexc5f87380

3321394048 has 96 divisors (see below), whose sum is σ = 7721224560. Its totient is φ = 1419005952.

The previous prime is 3321393991. The next prime is 3321394049. The reversal of 3321394048 is 8404931233.

It is a super-2 number, since 2×33213940482 = 22063316844179652608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321393998 and 3321394016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321394049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2715165 + ... + 2716387.

Almost surely, 23321394048 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 3321394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860612280).

3321394048 is an abundant number, since it is smaller than the sum of its proper divisors (4399830512).

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

3321394048 is a wasteful number, since it uses less digits than its factorization.

3321394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3321394048 is about 57631.5369220707. The cubic root of 3321394048 is about 1492.0159562439.

The spelling of 3321394048 in words is "three billion, three hundred twenty-one million, three hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 433 448 784 866 896 1223 1568 1732 2446 3031 3136 3464 4892 6062 6272 6928 8561 9784 12124 13856 17122 19568 21217 24248 27712 34244 39136 42434 48496 55424 59927 68488 78272 84868 96992 119854 136976 156544 169736 193984 239708 273952 339472 387968 479416 529559 547904 678944 958832 1059118 1095808 1357888 1917664 2118236 2715776 3706913 3835328 4236472 7413826 7670656 8472944 14827652 16945888 25948391 29655304 33891776 51896782 59310608 67783552 103793564 118621216 207587128 237242432 415174256 474484864 830348512 1660697024 3321394048