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3387078912 = 28371737061
BaseRepresentation
bin1100100111100010…
…1011100100000000
322202001101102210010
43021320223210000
523414043011122
61320032504520
7146635460430
oct31170534400
98661342703
103387078912
111488a10578
127a63ab140
1341c950809
14241ba62c0
1514c553e0c
hexc9e2b900

3387078912 has 144 divisors (see below), whose sum is σ = 10908680832. Its totient is φ = 910786560.

The previous prime is 3387078899. The next prime is 3387078913. The reversal of 3387078912 is 2198707833.

It is a super-2 number, since 2×33870789122 = 22944607112230207488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3387078913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72862 + ... + 109922.

It is an arithmetic number, because the mean of its divisors is an integer number (75754728).

Almost surely, 23387078912 is an apocalyptic number.

3387078912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454340416).

3387078912 is an abundant number, since it is smaller than the sum of its proper divisors (7521601920).

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

3387078912 is a wasteful number, since it uses less digits than its factorization.

3387078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37104 (or 37090 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 3387078912 is about 58198.6160660200. The cubic root of 3387078912 is about 1501.7873378807.

The spelling of 3387078912 in words is "three billion, three hundred eighty-seven million, seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 37061 45696 74122 91392 111183 148244 222366 259427 296488 444732 518854 592976 630037 778281 889464 1037708 1185952 1260074 1556562 1778928 1890111 2075416 2371904 2520148 3113124 3557856 3780222 4150832 4410259 4743808 5040296 6226248 7115712 7560444 8301664 8820518 9487616 10080592 12452496 13230777 14231424 15120888 16603328 17641036 20161184 24904992 26461554 28462848 30241776 33206656 35282072 40322368 49809984 52923108 60483552 66413312 70564144 80644736 99619968 105846216 120967104 141128288 161289472 199239936 211692432 241934208 282256576 423384864 483868416 564513152 846769728 1129026304 1693539456 3387078912