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379003135 = 5769115671
BaseRepresentation
bin10110100101110…
…010000011111111
3222102011100120011
4112211302003333
51234011100020
6101335204051
712251321260
oct2645620377
9872140504
10379003135
11184a34735
12a6b16627
136069c514
143849a967
152341735a
hex169720ff

379003135 has 16 divisors (see below), whose sum is σ = 520561152. Its totient is φ = 259495200.

The previous prime is 379003133. The next prime is 379003147. The reversal of 379003135 is 531300973.

It is not a de Polignac number, because 379003135 - 21 = 379003133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 379003097 and 379003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379003133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16350 + ... + 32020.

It is an arithmetic number, because the mean of its divisors is an integer number (32535072).

Almost surely, 2379003135 is an apocalyptic number.

379003135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

379003135 is a deficient number, since it is larger than the sum of its proper divisors (141558017).

379003135 is a wasteful number, since it uses less digits than its factorization.

379003135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 379003135 is about 19468.0028508319. The cubic root of 379003135 is about 723.6817169550.

The spelling of 379003135 in words is "three hundred seventy-nine million, three thousand, one hundred thirty-five".

Divisors: 1 5 7 35 691 3455 4837 15671 24185 78355 109697 548485 10828661 54143305 75800627 379003135