Search a number
-
+
379012608 = 2934131937
BaseRepresentation
bin10110100101110…
…100011000000000
3222102011211120000
4112211310120000
51234011400413
6101335320000
712251361012
oct2645643000
9872154500
10379012608
11184a40867
12a6b20000
13606a3920
14384a01b2
152341a073
hex16974600

379012608 has 400 divisors, whose sum is σ = 1317051120. Its totient is φ = 107495424.

The previous prime is 379012597. The next prime is 379012609. The reversal of 379012608 is 806210973.

379012608 is a `hidden beast` number, since 37 + 9 + 0 + 12 + 608 = 666.

379012608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3790126083 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379012609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10243566 + ... + 10243602.

Almost surely, 2379012608 is an apocalyptic number.

379012608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658525560).

379012608 is an abundant number, since it is smaller than the sum of its proper divisors (938038512).

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

379012608 is a wasteful number, since it uses less digits than its factorization.

379012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 379012608 is about 19468.2461459681. The cubic root of 379012608 is about 723.6877462629.

The spelling of 379012608 in words is "three hundred seventy-nine million, twelve thousand, six hundred eight".