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3381669312 = 26372516123
BaseRepresentation
bin1100100110010000…
…0010110111000000
322201200012121012120
43021210002313000
523411201404222
61315320524240
7146541500130
oct31144026700
98650177176
103381669312
11148595622a
127a4620680
1341b7a8478
14241198ac0
1514bd3615c
hexc9902dc0

3381669312 has 56 divisors (see below), whose sum is σ = 10225527936. Its totient is φ = 966190848.

The previous prime is 3381669307. The next prime is 3381669329. The reversal of 3381669312 is 2139661833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×33816693123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256718 + ... + 1259405.

Almost surely, 23381669312 is an apocalyptic number.

3381669312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3381669312 is an abundant number, since it is smaller than the sum of its proper divisors (6843858624).

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

3381669312 is a wasteful number, since it uses less digits than its factorization.

3381669312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516145 (or 2516135 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3381669312 is about 58152.1221624800. The cubic root of 3381669312 is about 1500.9873961122.

The spelling of 3381669312 in words is "three billion, three hundred eighty-one million, six hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2516123 5032246 7548369 10064492 15096738 17612861 20128984 30193476 35225722 40257968 52838583 60386952 70451444 80515936 105677166 120773904 140902888 161031872 211354332 241547808 281805776 422708664 483095616 563611552 845417328 1127223104 1690834656 3381669312