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378393516 = 2232231074271
BaseRepresentation
bin10110100011011…
…101001110101100
3222101000101022200
4112203131032230
51233332043031
6101314141500
712243202044
oct2643351654
9871011280
10378393516
11184658716
12a6881890
1360517bb7
143837c724
15233468e6
hex168dd3ac

378393516 has 72 divisors (see below), whose sum is σ = 1007645184. Its totient is φ = 119491680.

The previous prime is 378393503. The next prime is 378393517. The reversal of 378393516 is 615393873.

It is not an unprimeable number, because it can be changed into a prime (378393517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86461 + ... + 90731.

It is an arithmetic number, because the mean of its divisors is an integer number (13995072).

Almost surely, 2378393516 is an apocalyptic number.

378393516 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 378393516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503822592).

378393516 is an abundant number, since it is smaller than the sum of its proper divisors (629251668).

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

378393516 is a wasteful number, since it uses less digits than its factorization.

378393516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4406 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 378393516 is about 19452.3396022175. The cubic root of 378393516 is about 723.2934995206.

The spelling of 378393516 in words is "three hundred seventy-eight million, three hundred ninety-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 107 138 207 214 276 321 414 428 642 828 963 1284 1926 2461 3852 4271 4922 7383 8542 9844 12813 14766 17084 22149 25626 29532 38439 44298 51252 76878 88596 98233 153756 196466 294699 392932 456997 589398 884097 913994 1178796 1370991 1768194 1827988 2741982 3536388 4112973 5483964 8225946 10510931 16451892 21021862 31532793 42043724 63065586 94598379 126131172 189196758 378393516