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3374976 = 273111747
BaseRepresentation
bin1100110111111110000000
320100110121010
430313332000
51330444401
6200200520
740454403
oct14677600
96313533
103374976
1119a5740
121169140
13912237
1463bd3a
15469ed6
hex337f80

3374976 has 128 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 942080.

The previous prime is 3374963. The next prime is 3374983. The reversal of 3374976 is 6794733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33749762 = 22780926001152, 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, 71785 + ... + 71831.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

Almost surely, 23374976 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 3374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

3374976 is an abundant number, since it is smaller than the sum of its proper divisors (7200384).

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

3374976 is a wasteful number, since it uses less digits than its factorization.

3374976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 3374976 is about 1837.1107751031. The cubic root of 3374976 is about 149.9996444436. Note that the first 3 decimals are identical.

The spelling of 3374976 in words is "three million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 47 48 51 64 66 68 88 94 96 102 128 132 136 141 176 187 188 192 204 264 272 282 352 374 376 384 408 517 528 544 561 564 704 748 752 799 816 1034 1056 1088 1122 1128 1408 1496 1504 1551 1598 1632 2068 2112 2176 2244 2256 2397 2992 3008 3102 3196 3264 4136 4224 4488 4512 4794 5984 6016 6204 6392 6528 8272 8789 8976 9024 9588 11968 12408 12784 16544 17578 17952 18048 19176 23936 24816 25568 26367 33088 35156 35904 38352 49632 51136 52734 66176 70312 71808 76704 99264 102272 105468 140624 153408 198528 210936 281248 306816 421872 562496 843744 1124992 1687488 3374976