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378036940 = 225311016037
BaseRepresentation
bin10110100010000…
…110001011001100
3222100100021012011
4112202012023030
51233234140230
6101302351004
712240155341
oct2642061314
9870307164
10378036940
11184434826
12a672b464
13604217c8
14382c87c8
15232c5e2a
hex168862cc

378036940 has 48 divisors (see below), whose sum is σ = 827737344. Its totient is φ = 144864000.

The previous prime is 378036937. The next prime is 378036943. The reversal of 378036940 is 49630873.

It is an interprime number because it is at equal distance from previous prime (378036937) and next prime (378036943).

It is a junction number, because it is equal to n+sod(n) for n = 378036893 and 378036902.

It is not an unprimeable number, because it can be changed into a prime (378036943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59602 + ... + 65638.

It is an arithmetic number, because the mean of its divisors is an integer number (17244528).

Almost surely, 2378036940 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 378036940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413868672).

378036940 is an abundant number, since it is smaller than the sum of its proper divisors (449700404).

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

378036940 is a wasteful number, since it uses less digits than its factorization.

378036940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 378036940 is about 19443.1720663065. The cubic root of 378036940 is about 723.0662315688.

The spelling of 378036940 in words is "three hundred seventy-eight million, thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6037 6262 12074 12524 15655 24148 30185 31310 60370 62620 120740 187147 374294 609737 748588 935735 1219474 1871470 2438948 3048685 3742940 6097370 12194740 18901847 37803694 75607388 94509235 189018470 378036940