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378537696 = 25322961743
BaseRepresentation
bin10110100100000…
…000011011100000
3222101021201002200
4112210000123200
51233401201241
6101321213200
712244342305
oct2644003340
9871251080
10378537696
11184746a79
12a6931200
1360568704
14383b90ac
15233744b6
hex169006e0

378537696 has 144 divisors (see below), whose sum is σ = 1133364960. Its totient is φ = 119669760.

The previous prime is 378537661. The next prime is 378537751. The reversal of 378537696 is 696735873.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509101 + ... + 509843.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2378537696 is an apocalyptic number.

378537696 is a gapful number since it is divisible by the number (36) 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 378537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566682480).

378537696 is an abundant number, since it is smaller than the sum of its proper divisors (754827264).

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

378537696 is a wasteful number, since it uses less digits than its factorization.

378537696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 378537696 is about 19456.0452302106. The cubic root of 378537696 is about 723.3853538204.

The spelling of 378537696 in words is "three hundred seventy-eight million, five hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 61 72 87 96 116 122 144 174 183 232 244 261 288 348 366 464 488 522 549 696 732 743 928 976 1044 1098 1392 1464 1486 1769 1952 2088 2196 2229 2784 2928 2972 3538 4176 4392 4458 5307 5856 5944 6687 7076 8352 8784 8916 10614 11888 13374 14152 15921 17568 17832 21228 21547 23776 26748 28304 31842 35664 42456 43094 45323 53496 56608 63684 64641 71328 84912 86188 90646 106992 127368 129282 135969 169824 172376 181292 193923 213984 254736 258564 271938 344752 362584 387846 407907 509472 517128 543876 689504 725168 775692 815814 1034256 1087752 1314367 1450336 1551384 1631628 2068512 2175504 2628734 3102768 3263256 3943101 4351008 5257468 6205536 6526512 7886202 10514936 11829303 13053024 15772404 21029872 23658606 31544808 42059744 47317212 63089616 94634424 126179232 189268848 378537696