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379728690 = 2351110111393
BaseRepresentation
bin10110101000100…
…011001100110010
3222110112012211120
4112220203030302
51234202304230
6101402523110
712260432505
oct2650431462
9873465746
10379728690
1118538a870
12a7206496
1360894843
143860913c
152350c310
hex16a23332

379728690 has 64 divisors (see below), whose sum is σ = 1004130432. Its totient is φ = 91136000.

The previous prime is 379728673. The next prime is 379728709. The reversal of 379728690 is 96827973.

It is a super-2 number, since 2×3797286902 = 288387756018232200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 27634 + ... + 39026.

It is an arithmetic number, because the mean of its divisors is an integer number (15689538).

Almost surely, 2379728690 is an apocalyptic number.

379728690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379728690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502065216).

379728690 is an abundant number, since it is smaller than the sum of its proper divisors (624401742).

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

379728690 is a wasteful number, since it uses less digits than its factorization.

379728690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 379728690 is about 19486.6284923791. The cubic root of 379728690 is about 724.1432225331.

The spelling of 379728690 in words is "three hundred seventy-nine million, seven hundred twenty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 11393 16665 22786 33330 34179 56965 68358 113930 125323 170895 250646 341790 375969 626615 751938 1150693 1253230 1879845 2301386 3452079 3759690 5753465 6904158 11506930 12657623 17260395 25315246 34520790 37972869 63288115 75945738 126576230 189864345 379728690