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379460340 = 223257301159
BaseRepresentation
bin10110100111100…
…001101011110100
3222110000120201200
4112213201223310
51234120212330
6101353052500
712255234240
oct2647415364
9873016650
10379460340
11185217196
12a70b7130
13607cc65c
1438579420
15234a7a60
hex169e1af4

379460340 has 72 divisors (see below), whose sum is σ = 1315466880. Its totient is φ = 86733504.

The previous prime is 379460303. The next prime is 379460357. The reversal of 379460340 is 43064973.

379460340 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 603 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379460295 and 379460304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149320 + ... + 151839.

Almost surely, 2379460340 is an apocalyptic number.

379460340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379460340 is an abundant number, since it is smaller than the sum of its proper divisors (936006540).

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

379460340 is a wasteful number, since it uses less digits than its factorization.

379460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301181 (or 301176 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 379460340 is about 19479.7417847363. The cubic root of 379460340 is about 723.9726010408.

The spelling of 379460340 in words is "three hundred seventy-nine million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 301159 602318 903477 1204636 1505795 1806954 2108113 2710431 3011590 3613908 4216226 4517385 5420862 6023180 6324339 8432452 9034770 10540565 10841724 12648678 13552155 18069540 18973017 21081130 25297356 27104310 31621695 37946034 42162260 54208620 63243390 75892068 94865085 126486780 189730170 379460340