Search a number
-
+
379174716 = 223319257719
BaseRepresentation
bin10110100110011…
…011111100111100
3222102111001221000
4112212123330330
51234032042331
6101343010300
712252634434
oct2646337474
9872431830
10379174716
11185041638
12a6b99990
136072c64b
14385032c4
152344d0e6
hex1699bf3c

379174716 has 96 divisors (see below), whose sum is σ = 1040256000. Its totient is φ = 119107584.

The previous prime is 379174693. The next prime is 379174717. The reversal of 379174716 is 617471973.

It is a happy number.

379174716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379174717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527005 + ... + 527723.

It is an arithmetic number, because the mean of its divisors is an integer number (10836000).

Almost surely, 2379174716 is an apocalyptic number.

379174716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379174716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520128000).

379174716 is an abundant number, since it is smaller than the sum of its proper divisors (661081284).

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

379174716 is a wasteful number, since it uses less digits than its factorization.

379174716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 379174716 is about 19472.4090959491. The cubic root of 379174716 is about 723.7909080477.

The spelling of 379174716 in words is "three hundred seventy-nine million, one hundred seventy-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 257 342 513 514 684 719 771 1026 1028 1438 1542 2052 2157 2313 2876 3084 4314 4626 4883 6471 6939 8628 9252 9766 12942 13661 13878 14649 19413 19532 25884 27322 27756 29298 38826 40983 43947 54644 58596 77652 81966 87894 122949 131841 163932 175788 184783 245898 263682 368847 369566 491796 527364 554349 737694 739132 1108698 1475388 1663047 2217396 3326094 3510877 4989141 6652188 7021754 9978282 10532631 14043508 19956564 21065262 31597893 42130524 63195786 94793679 126391572 189587358 379174716