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379289144 = 231329671877
BaseRepresentation
bin10110100110110…
…111111000111000
3222102200212220002
4112212313320320
51234044223034
6101345252132
712253622153
oct2646677070
9872625802
10379289144
1118510a603
12a7034048
136076c760
1438532c9a
1523471e7e
hex169b7e38

379289144 has 64 divisors (see below), whose sum is σ = 804535200. Its totient is φ = 166408704.

The previous prime is 379289129. The next prime is 379289189. The reversal of 379289144 is 441982973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201134 + ... + 203010.

Almost surely, 2379289144 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 379289144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402267600).

379289144 is an abundant number, since it is smaller than the sum of its proper divisors (425246056).

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

379289144 is a wasteful number, since it uses less digits than its factorization.

379289144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1988 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 379289144 is about 19475.3470829149. The cubic root of 379289144 is about 723.8637096812.

The spelling of 379289144 in words is "three hundred seventy-nine million, two hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 67 104 116 134 232 268 377 536 754 871 1508 1742 1877 1943 3016 3484 3754 3886 6968 7508 7772 15016 15544 24401 25259 48802 50518 54433 97604 101036 108866 125759 195208 202072 217732 251518 435464 503036 707629 1006072 1415258 1634867 2830516 3269734 3647011 5661032 6539468 7294022 13078936 14588044 29176088 47411143 94822286 189644572 379289144