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379503936 = 26327611543
BaseRepresentation
bin10110100111101…
…100010101000000
3222110002210112100
4112213230111000
51234123111221
6101354030400
712255505320
oct2647542500
9873083470
10379503936
11185246a19
12a7118400
1360816456
143858b280
15234b5926
hex169ec540

379503936 has 168 divisors, whose sum is σ = 1264375424. Its totient is φ = 106583040.

The previous prime is 379503923. The next prime is 379503941. The reversal of 379503936 is 639305973.

379503936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 379503891 and 379503900.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 245181 + ... + 246723.

Almost surely, 2379503936 is an apocalyptic number.

379503936 is a gapful number since it is divisible by the number (36) 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 379503936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632187712).

379503936 is an abundant number, since it is smaller than the sum of its proper divisors (884871488).

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

379503936 is a wasteful number, since it uses less digits than its factorization.

379503936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 379503936 is about 19480.8607612703. The cubic root of 379503936 is about 724.0003255902. Note that the first 3 decimals are identical.

The spelling of 379503936 in words is "three hundred seventy-nine million, five hundred three thousand, nine hundred thirty-six".