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379669248 = 2833721959
BaseRepresentation
bin10110101000010…
…100101100000000
3222110102012022000
4112220110230000
51234143403443
6101401344000
712260064300
oct2650245400
9873365260
10379669248
1118534a142
12a7198000
136087377a
14385d1600
15234e98d3
hex16a14b00

379669248 has 432 divisors, whose sum is σ = 1398096000. Its totient is φ = 101025792.

The previous prime is 379669237. The next prime is 379669253. The reversal of 379669248 is 842966973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 junction number, because it is equal to n+sod(n) for n = 379669194 and 379669203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6435043 + ... + 6435101.

Almost surely, 2379669248 is an apocalyptic number.

379669248 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 379669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048000).

379669248 is an abundant number, since it is smaller than the sum of its proper divisors (1018426752).

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

379669248 is a wasteful number, since it uses less digits than its factorization.

379669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 379669248 is about 19485.1032329829. The cubic root of 379669248 is about 724.1054352314.

The spelling of 379669248 in words is "three hundred seventy-nine million, six hundred sixty-nine thousand, two hundred forty-eight".