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3364056384 = 263136612039
BaseRepresentation
bin1100100010000011…
…0110110101000000
322200110001202210220
43020200312311000
523342144301014
61313451223040
7146236002363
oct31040666500
98613052726
103364056384
111476a16397
1279a747a80
13417c4c710
1423cad20da
1514a5076a9
hexc8836d40

3364056384 has 112 divisors (see below), whose sum is σ = 9604613760. Its totient is φ = 1033021440.

The previous prime is 3364056379. The next prime is 3364056401. The reversal of 3364056384 is 4836504633.

It is a super-2 number, since 2×33640563842 = 22633750709462310912, which contains 22 as substring.

It is a congruent number.

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, 1648837 + ... + 1650875.

It is an arithmetic number, because the mean of its divisors is an integer number (85755480).

Almost surely, 23364056384 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 3364056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802306880).

3364056384 is an abundant number, since it is smaller than the sum of its proper divisors (6240557376).

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

3364056384 is a wasteful number, since it uses less digits than its factorization.

3364056384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3364056384 is about 58000.4860669288. The cubic root of 3364056384 is about 1498.3769680338.

The spelling of 3364056384 in words is "three billion, three hundred sixty-four million, fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 661 832 1248 1322 1983 2039 2496 2644 3966 4078 5288 6117 7932 8156 8593 10576 12234 15864 16312 17186 21152 24468 25779 26507 31728 32624 34372 42304 48936 51558 53014 63456 65248 68744 79521 97872 103116 106028 126912 130496 137488 159042 195744 206232 212056 274976 318084 391488 412464 424112 549952 636168 824928 848224 1272336 1347779 1649856 1696448 2544672 2695558 4043337 5089344 5391116 8086674 10782232 16173348 17521127 21564464 32346696 35042254 43128928 52563381 64693392 70084508 86257856 105126762 129386784 140169016 210253524 258773568 280338032 420507048 560676064 841014096 1121352128 1682028192 3364056384