Search a number
-
+
379452870 = 233511312437
BaseRepresentation
bin10110100111011…
…111110111000110
3222110000012111000
4112213133313012
51234114442440
6101352554130
712255203406
oct2647376706
9873005430
10379452870
11185211615
12a70b2946
13607c9134
1438576806
15234a5730
hex169dfdc6

379452870 has 64 divisors (see below), whose sum is σ = 1020911040. Its totient is φ = 100283904.

The previous prime is 379452851. The next prime is 379452877. The reversal of 379452870 is 78254973.

379452870 is a `hidden beast` number, since 37 + 94 + 528 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379452877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24292 + ... + 36728.

It is an arithmetic number, because the mean of its divisors is an integer number (15951735).

Almost surely, 2379452870 is an apocalyptic number.

379452870 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 379452870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510455520).

379452870 is an abundant number, since it is smaller than the sum of its proper divisors (641458170).

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

379452870 is a wasteful number, since it uses less digits than its factorization.

379452870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 379452870 is about 19479.5500461381. The cubic root of 379452870 is about 723.9678503372.

The spelling of 379452870 in words is "three hundred seventy-nine million, four hundred fifty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 10170 12437 15255 24874 30510 37311 62185 74622 111933 124370 186555 223866 335799 373110 559665 671598 1119330 1405381 1678995 2810762 3357990 4216143 7026905 8432286 12648429 14053810 21080715 25296858 37945287 42161430 63242145 75890574 126484290 189726435 379452870