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3386377984 = 28111202549
BaseRepresentation
bin1100100111011000…
…0000011100000000
322202000001211021211
43021312000130000
523413403043414
61320005455504
7146626511053
oct31166003400
98660054254
103386377984
1114885819a0
127a6111594
1341c766772
14241a62a9a
1514c4663c4
hexc9d80700

3386377984 has 36 divisors (see below), whose sum is σ = 7374036600. Its totient is φ = 1539261440.

The previous prime is 3386377949. The next prime is 3386377991. The reversal of 3386377984 is 4897736833.

It is a happy number.

It is a super-2 number, since 2×33863779842 = 22935111701039808512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 598459 + ... + 604090.

It is an arithmetic number, because the mean of its divisors is an integer number (204834350).

Almost surely, 23386377984 is an apocalyptic number.

It is an amenable number.

3386377984 is an abundant number, since it is smaller than the sum of its proper divisors (3987658616).

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

3386377984 is a wasteful number, since it uses less digits than its factorization.

3386377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202576 (or 1202562 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The square root of 3386377984 is about 58192.5938930376. The cubic root of 3386377984 is about 1501.6837365729.

The spelling of 3386377984 in words is "three billion, three hundred eighty-six million, three hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 1202549 2405098 4810196 9620392 13228039 19240784 26456078 38481568 52912156 76963136 105824312 153926272 211648624 307852544 423297248 846594496 1693188992 3386377984