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379498392 = 233371343449
BaseRepresentation
bin10110100111101…
…010111110011000
3222110002111221000
4112213222332120
51234122422032
6101353545000
712255453210
oct2647527630
9873074830
10379498392
11185242839
12a7115160
1360813a80
1438589240
15234b3e7c
hex169eaf98

379498392 has 256 divisors, whose sum is σ = 1330560000. Its totient is φ = 97542144.

The previous prime is 379498387. The next prime is 379498397. The reversal of 379498392 is 293894973.

379498392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379498387) and next prime (379498397).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379498397) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 844984 + ... + 845432.

It is an arithmetic number, because the mean of its divisors is an integer number (5197500).

Almost surely, 2379498392 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 379498392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280000).

379498392 is an abundant number, since it is smaller than the sum of its proper divisors (951061608).

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

379498392 is a wasteful number, since it uses less digits than its factorization.

379498392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 379498392 is about 19480.7184672435. The cubic root of 379498392 is about 723.9968000428.

The spelling of 379498392 in words is "three hundred seventy-nine million, four hundred ninety-eight thousand, three hundred ninety-two".