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379505070 = 232571374397
BaseRepresentation
bin10110100111101…
…100100110101110
3222110002212002100
4112213230212232
51234123130240
6101354035530
712255511530
oct2647544656
9873085070
10379505070
1118524785a
12a7118ba6
1360816b19
143858b850
15234b5e30
hex169ec9ae

379505070 has 96 divisors (see below), whose sum is σ = 1136161728. Its totient is φ = 86091264.

The previous prime is 379505047. The next prime is 379505081. The reversal of 379505070 is 70505973.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 84112 + ... + 88508.

It is an arithmetic number, because the mean of its divisors is an integer number (11835018).

Almost surely, 2379505070 is an apocalyptic number.

379505070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379505070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568080864).

379505070 is an abundant number, since it is smaller than the sum of its proper divisors (756656658).

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

379505070 is a wasteful number, since it uses less digits than its factorization.

379505070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 379505070 is about 19480.8898667386. The cubic root of 379505070 is about 724.0010467207.

The spelling of 379505070 in words is "three hundred seventy-nine million, five hundred five thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 137 210 274 315 411 630 685 822 959 1233 1370 1918 2055 2466 2877 4110 4397 4795 5754 6165 8631 8794 9590 12330 13191 14385 17262 21985 26382 28770 30779 39573 43155 43970 61558 65955 79146 86310 92337 131910 153895 184674 197865 277011 307790 395730 461685 554022 602389 923370 1204778 1385055 1807167 2770110 3011945 3614334 4216723 5421501 6023890 8433446 9035835 10843002 12650169 18071670 21083615 25300338 27107505 37950507 42167230 54215010 63250845 75901014 126501690 189752535 379505070