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378268704 = 25341113267
BaseRepresentation
bin10110100010111…
…110110000100000
3222100210001010000
4112202332300200
51233314044304
6101311340000
712242142132
oct2642766040
9870701100
10378268704
11184582970
12a6821600
13604a3148
1438349052
152331e939
hex168bec20

378268704 has 120 divisors (see below), whose sum is σ = 1213703568. Its totient is φ = 114618240.

The previous prime is 378268697. The next prime is 378268729. The reversal of 378268704 is 407862873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 378268704.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 21879 + ... + 35145.

Almost surely, 2378268704 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 378268704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606851784).

378268704 is an abundant number, since it is smaller than the sum of its proper divisors (835434864).

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

378268704 is a wasteful number, since it uses less digits than its factorization.

378268704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 378268704 is about 19449.1311888218. The cubic root of 378268704 is about 723.2139653567.

The spelling of 378268704 in words is "three hundred seventy-eight million, two hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 13267 14256 26534 28512 39801 53068 79602 106136 119403 145937 159204 212272 238806 291874 318408 358209 424544 437811 477612 583748 636816 716418 875622 955224 1074627 1167496 1273632 1313433 1432836 1751244 1910448 2149254 2334992 2626866 2865672 3502488 3820896 3940299 4298508 4669984 5253732 5731344 7004976 7880598 8597016 10507464 11462688 11820897 14009952 15761196 17194032 21014928 23641794 31522392 34388064 42029856 47283588 63044784 94567176 126089568 189134352 378268704