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379463260 = 225112295407
BaseRepresentation
bin10110100111100…
…010011001011100
3222110000201201211
4112213202121130
51234120311020
6101353114204
712255245611
oct2647423134
9873021654
10379463260
11185219400
12a70b8964
1360800a97
143857a508
15234a885a
hex169e265c

379463260 has 72 divisors (see below), whose sum is σ = 906272640. Its totient is φ = 133203840.

The previous prime is 379463257. The next prime is 379463291. The reversal of 379463260 is 62364973.

379463260 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

379463260 is strictly pandigital in base 9.

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, 67477 + ... + 72883.

It is an arithmetic number, because the mean of its divisors is an integer number (12587120).

Almost surely, 2379463260 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 379463260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453136320).

379463260 is an abundant number, since it is smaller than the sum of its proper divisors (526809380).

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

379463260 is a wasteful number, since it uses less digits than its factorization.

379463260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 379463260 is about 19479.8167342509. The cubic root of 379463260 is about 723.9744580593.

The spelling of 379463260 in words is "three hundred seventy-nine million, four hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 5407 6380 7018 10814 14036 17545 21628 27035 35090 54070 59477 70180 108140 118954 156803 237908 297385 313606 594770 627212 654247 784015 1189540 1308494 1568030 1724833 2616988 3136060 3271235 3449666 6542470 6899332 8624165 13084940 17248330 18973163 34496660 37946326 75892652 94865815 189731630 379463260