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380167542 = 232192774013
BaseRepresentation
bin10110101010001…
…110010101110110
3222111100111211100
4112222032111312
51234310330132
6101420150530
712264241116
oct2652162566
9874314740
10380167542
1118565a557
12a7398446
13609b9511
14386c1046
152359737c
hex16a8e576

380167542 has 48 divisors (see below), whose sum is σ = 870395760. Its totient is φ = 119589696.

The previous prime is 380167531. The next prime is 380167547. The reversal of 380167542 is 245761083.

It is a junction number, because it is equal to n+sod(n) for n = 380167497 and 380167506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380167547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92728 + ... + 96740.

It is an arithmetic number, because the mean of its divisors is an integer number (18133245).

Almost surely, 2380167542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380167542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435197880).

380167542 is an abundant number, since it is smaller than the sum of its proper divisors (490228218).

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

380167542 is a wasteful number, since it uses less digits than its factorization.

380167542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 380167542 is about 19497.8855776723. The cubic root of 380167542 is about 724.4220789592.

The spelling of 380167542 in words is "three hundred eighty million, one hundred sixty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 277 342 554 831 1662 2493 4013 4986 5263 8026 10526 12039 15789 24078 31578 36117 47367 72234 76247 94734 152494 228741 457482 686223 1111601 1372446 2223202 3334803 6669606 10004409 20008818 21120419 42240838 63361257 126722514 190083771 380167542