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379418640 = 24351580911
BaseRepresentation
bin10110100111010…
…111100000010000
3222102221110112020
4112213113200100
51234112344030
6101352131440
712255001536
oct2647274020
9872843466
10379418640
11185198927
12a7096b80
13607b6693
1438568156
152349a510
hex169d7810

379418640 has 40 divisors (see below), whose sum is σ = 1176198528. Its totient is φ = 101178240.

The previous prime is 379418621. The next prime is 379418671. The reversal of 379418640 is 46814973.

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

It is a junction number, because it is equal to n+sod(n) for n = 379418592 and 379418601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790216 + ... + 790695.

Almost surely, 2379418640 is an apocalyptic number.

379418640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379418640 is an abundant number, since it is smaller than the sum of its proper divisors (796779888).

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

379418640 is a wasteful number, since it uses less digits than its factorization.

379418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580927 (or 1580921 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 379418640 is about 19478.6714125990. The cubic root of 379418640 is about 723.9460802513.

The spelling of 379418640 in words is "three hundred seventy-nine million, four hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1580911 3161822 4742733 6323644 7904555 9485466 12647288 15809110 18970932 23713665 25294576 31618220 37941864 47427330 63236440 75883728 94854660 126472880 189709320 379418640