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377363142 = 232132196529
BaseRepresentation
bin10110011111100…
…001101011000110
3222022002000220200
4112133201223012
51233101110032
6101240111330
712231351042
oct2637415306
9868060820
10377363142
11184014572
12a6465546
1360246c00
1438191022
15231e147c
hex167e1ac6

377363142 has 72 divisors (see below), whose sum is σ = 932092200. Its totient is φ = 109983744.

The previous prime is 377363137. The next prime is 377363143. The reversal of 377363142 is 241363773.

It is a super-2 number, since 2×3773631422 = 284805881880224328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 377363097 and 377363106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377363143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54534 + ... + 61062.

It is an arithmetic number, because the mean of its divisors is an integer number (12945725).

Almost surely, 2377363142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377363142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466046100).

377363142 is an abundant number, since it is smaller than the sum of its proper divisors (554729058).

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

377363142 is a wasteful number, since it uses less digits than its factorization.

377363142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6566 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 377363142 is about 19425.8369703856. The cubic root of 377363142 is about 722.6363879285.

The spelling of 377363142 in words is "three hundred seventy-seven million, three hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 494 507 741 1014 1482 1521 2223 3042 3211 4446 6422 6529 9633 13058 19266 19587 28899 39174 57798 58761 84877 117522 124051 169754 248102 254631 372153 509262 744306 763893 1103401 1116459 1527786 1612663 2206802 2232918 3225326 3310203 4837989 6620406 9675978 9930609 14513967 19861218 20964619 29027934 41929238 62893857 125787714 188681571 377363142