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379616868 = 223417413
BaseRepresentation
bin10110101000000…
…111111001100100
3222110022112110000
4112220013321210
51234140214433
6101400301300
712256455501
oct2650077144
9873275400
10379616868
11185313854
12a7171830
1360855987
14385ba4a8
15234d9113
hex16a07e64

379616868 has 120 divisors (see below), whose sum is σ = 1077038424. Its totient is φ = 116190720.

The previous prime is 379616837. The next prime is 379616891. The reversal of 379616868 is 868616973.

It is a happy number.

379616868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156950784 + 222666084 = 12528^2 + 14922^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9258928 + ... + 9258968.

Almost surely, 2379616868 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 379616868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538519212).

379616868 is an abundant number, since it is smaller than the sum of its proper divisors (697421556).

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

379616868 is an equidigital number, since it uses as much as digits as its factorization.

379616868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 63 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 379616868 is about 19483.7590828875. The cubic root of 379616868 is about 724.0721339767.

The spelling of 379616868 in words is "three hundred seventy-nine million, six hundred sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 612 697 738 918 1107 1377 1394 1476 1681 1836 2091 2214 2754 2788 3321 3362 4182 4428 5043 5508 6273 6642 6724 8364 10086 12546 13284 15129 18819 20172 25092 28577 30258 37638 45387 56457 57154 60516 68921 75276 85731 90774 112914 114308 136161 137842 171462 181548 206763 225828 257193 272322 275684 342924 413526 514386 544644 620289 771579 827052 1028772 1171657 1240578 1543158 1860867 2314737 2343314 2481156 3086316 3514971 3721734 4629474 4686628 5582601 7029942 7443468 9258948 10544913 11165202 14059884 21089826 22330404 31634739 42179652 63269478 94904217 126538956 189808434 379616868