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378981696 = 26331411553
BaseRepresentation
bin10110100101101…
…100110101000000
3222102010021011010
4112211230311000
51234004403241
6101334520520
712251201622
oct2645546500
9872107133
10378981696
11184a1a615
12a6b06140
1360692832
1438492c12
1523410d16
hex1696cd40

378981696 has 112 divisors (see below), whose sum is σ = 1060996608. Its totient is φ = 119193600.

The previous prime is 378981689. The next prime is 378981751. The reversal of 378981696 is 696189873.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 243256 + ... + 244808.

It is an arithmetic number, because the mean of its divisors is an integer number (9473184).

Almost surely, 2378981696 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 378981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530498304).

378981696 is an abundant number, since it is smaller than the sum of its proper divisors (682014912).

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

378981696 is a wasteful number, since it uses less digits than its factorization.

378981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 378981696 is about 19467.4522215928. The cubic root of 378981696 is about 723.6680712412.

The spelling of 378981696 in words is "three hundred seventy-eight million, nine hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 164 186 192 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1553 1968 1984 2542 2624 2976 3106 3813 3936 4659 5084 5952 6212 7626 7872 9318 10168 12424 15252 18636 20336 24848 30504 37272 40672 48143 49696 61008 63673 74544 81344 96286 99392 122016 127346 144429 149088 191019 192572 244032 254692 288858 298176 382038 385144 509384 577716 764076 770288 1018768 1155432 1528152 1540576 1973863 2037536 2310864 3056304 3081152 3947726 4075072 4621728 5921589 6112608 7895452 9243456 11843178 12225216 15790904 23686356 31581808 47372712 63163616 94745424 126327232 189490848 378981696