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378413040 = 24351576721
BaseRepresentation
bin10110100011100…
…001111111110000
3222101001101002210
4112203201333300
51233333204130
6101314412120
712243313005
oct2643417760
9871041083
10378413040
11184671355
12a6891040
1360523a55
14383858ac
152334c5b0
hex168e1ff0

378413040 has 40 divisors (see below), whose sum is σ = 1173081168. Its totient is φ = 100910080.

The previous prime is 378413033. The next prime is 378413041. The reversal of 378413040 is 40314873.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 378412989 and 378413007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378413041) 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, 788121 + ... + 788600.

Almost surely, 2378413040 is an apocalyptic number.

378413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378413040 is an abundant number, since it is smaller than the sum of its proper divisors (794668128).

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

378413040 is a wasteful number, since it uses less digits than its factorization.

378413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576737 (or 1576731 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 378413040 is about 19452.8414376923. The cubic root of 378413040 is about 723.3059392506.

The spelling of 378413040 in words is "three hundred seventy-eight million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1576721 3153442 4730163 6306884 7883605 9460326 12613768 15767210 18920652 23650815 25227536 31534420 37841304 47301630 63068840 75682608 94603260 126137680 189206520 378413040