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378670768 = 24724114029
BaseRepresentation
bin10110100100100…
…000111010110000
3222101112110122021
4112210200322300
51233414431033
6101324121224
712245435260
oct2644407260
9871473567
10378670768
11184827a53
12a6996214
13605b4158
14384117a0
152339db2d
hex16920eb0

378670768 has 40 divisors (see below), whose sum is σ = 842024480. Its totient is φ = 161602560.

The previous prime is 378670759. The next prime is 378670769. The reversal of 378670768 is 867076873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (378670769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19978 + ... + 34006.

It is an arithmetic number, because the mean of its divisors is an integer number (21050612).

Almost surely, 2378670768 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 378670768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421012240).

378670768 is an abundant number, since it is smaller than the sum of its proper divisors (463353712).

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

378670768 is a wasteful number, since it uses less digits than its factorization.

378670768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14285 (or 14279 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The square root of 378670768 is about 19459.4647408401. The cubic root of 378670768 is about 723.4701107318.

The spelling of 378670768 in words is "three hundred seventy-eight million, six hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 6748 13496 14029 26992 28058 56116 98203 112232 196406 224464 392812 785624 1571248 3380989 6761978 13523956 23666923 27047912 47333846 54095824 94667692 189335384 378670768