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378715140 = 223252103973
BaseRepresentation
bin10110100100101…
…011110000000100
3222101121201111200
4112210223300010
51233422341030
6101325102500
712246011526
oct2644536004
9871551450
10378715140
11184858321
12a69b7a30
13605cb3cb
1438423a16
15233abd60
hex1692bc04

378715140 has 36 divisors (see below), whose sum is σ = 1148769804. Its totient is φ = 100990656.

The previous prime is 378715111. The next prime is 378715151. The reversal of 378715140 is 41517873.

378715140 is a `hidden beast` number, since 3 + 78 + 71 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 321198084 = 7584^2 + 17922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 378715095 and 378715104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051807 + ... + 1052166.

Almost surely, 2378715140 is an apocalyptic number.

378715140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378715140 is an abundant number, since it is smaller than the sum of its proper divisors (770054664).

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

378715140 is a wasteful number, since it uses less digits than its factorization.

378715140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103988 (or 2103983 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 378715140 is about 19460.6048210224. The cubic root of 378715140 is about 723.4983679627.

The spelling of 378715140 in words is "three hundred seventy-eight million, seven hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2103973 4207946 6311919 8415892 10519865 12623838 18935757 21039730 25247676 31559595 37871514 42079460 63119190 75743028 94678785 126238380 189357570 378715140