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379701672 = 233710321943
BaseRepresentation
bin10110101000011…
…100100110101000
3222110110211202220
4112220130212220
51234200423142
6101402154040
712260260650
oct2650344650
9873424686
10379701672
11185371539
12a71b2920
136088545c
14385dd360
15235042ec
hex16a1c9a8

379701672 has 64 divisors (see below), whose sum is σ = 1095444480. Its totient is φ = 107428032.

The previous prime is 379701631. The next prime is 379701683. The reversal of 379701672 is 276107973.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6333 + ... + 28275.

It is an arithmetic number, because the mean of its divisors is an integer number (17116320).

Almost surely, 2379701672 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 379701672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547722240).

379701672 is an abundant number, since it is smaller than the sum of its proper divisors (715742808).

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

379701672 is a wasteful number, since it uses less digits than its factorization.

379701672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22062 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 379701672 is about 19485.9352354461. The cubic root of 379701672 is about 724.1260476692.

The spelling of 379701672 in words is "three hundred seventy-nine million, seven hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 4326 5768 8652 17304 21943 43886 65829 87772 131658 153601 175544 263316 307202 460803 526632 614404 921606 1228808 1843212 2260129 3686424 4520258 6780387 9040516 13560774 15820903 18081032 27121548 31641806 47462709 54243096 63283612 94925418 126567224 189850836 379701672