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378240832 = 2611352301
BaseRepresentation
bin10110100010110…
…111111101000000
3222100201121212201
4112202313331000
51233312201312
6101311002544
712241664644
oct2642677500
9870647781
10378240832
11184563a32
12a6809454
1360493558
143833cc24
1523316557
hex168b7f40

378240832 has 28 divisors (see below), whose sum is σ = 757228356. Its totient is φ = 187443200.

The previous prime is 378240829. The next prime is 378240839. The reversal of 378240832 is 238042873.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 221890816 = 12504^2 + 14896^2 .

It is a super-2 number, since 2×3782408322 = 286132253984104448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 378240791 and 378240800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378240839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18919 + ... + 33382.

Almost surely, 2378240832 is an apocalyptic number.

378240832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378240832 is an abundant number, since it is smaller than the sum of its proper divisors (378987524).

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

378240832 is a wasteful number, since it uses less digits than its factorization.

378240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52426 (or 52416 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 378240832 is about 19448.4146397592. The cubic root of 378240832 is about 723.1962020450.

The spelling of 378240832 in words is "three hundred seventy-eight million, two hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 7232 52301 104602 209204 418408 836816 1673632 3347264 5910013 11820026 23640052 47280104 94560208 189120416 378240832