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378650016 = 25321518707
BaseRepresentation
bin10110100100011…
…011110110100000
3222101111102011200
4112210123312200
51233413300031
6101323441200
712245320623
oct2644336640
9871442150
10378650016
111848133a8
12a6986200
13605a7884
1438407dba
15233978e6
hex1691bda0

378650016 has 72 divisors (see below), whose sum is σ = 1084041504. Its totient is φ = 125366400.

The previous prime is 378650011. The next prime is 378650017. The reversal of 378650016 is 610056873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378650011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39135 + ... + 47841.

It is an arithmetic number, because the mean of its divisors is an integer number (15056132).

Almost surely, 2378650016 is an apocalyptic number.

378650016 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 378650016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542020752).

378650016 is an abundant number, since it is smaller than the sum of its proper divisors (705391488).

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

378650016 is a wasteful number, since it uses less digits than its factorization.

378650016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 378650016 is about 19458.9315225682. The cubic root of 378650016 is about 723.4568945669.

The spelling of 378650016 in words is "three hundred seventy-eight million, six hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 8707 10872 14496 17414 21744 26121 34828 43488 52242 69656 78363 104484 139312 156726 208968 278624 313452 417936 626904 835872 1253808 1314757 2507616 2629514 3944271 5259028 7888542 10518056 11832813 15777084 21036112 23665626 31554168 42072224 47331252 63108336 94662504 126216672 189325008 378650016