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378815112 = 2332134779109
BaseRepresentation
bin10110100101000…
…100001010001000
3222101210210122100
4112211010022020
51233434040422
6101331153400
712246606144
oct2645041210
9871723570
10378815112
11184916445
12a6a45860
1360634a70
143844c224
15233cb7ac
hex16944288

378815112 has 192 divisors, whose sum is σ = 1153152000. Its totient is φ = 111601152.

The previous prime is 378815111. The next prime is 378815123. The reversal of 378815112 is 211518873.

It is a super-3 number, since 3×3788151123 (a number of 27 digits) contains 333 as substring.

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 (378815111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475314 + ... + 3475422.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2378815112 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 378815112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576000).

378815112 is an abundant number, since it is smaller than the sum of its proper divisors (774336888).

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

378815112 is a wasteful number, since it uses less digits than its factorization.

378815112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 378815112 is about 19463.1732253505. The cubic root of 378815112 is about 723.5620246162.

The spelling of 378815112 in words is "three hundred seventy-eight million, eight hundred fifteen thousand, one hundred twelve".