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379753020 = 223252109739
BaseRepresentation
bin10110101000101…
…001001000111100
3222110120110012200
4112220221020330
51234204044040
6101403231500
712260563443
oct2650511074
9873513180
10379753020
111853a7079
12a7218590
13608a293a
1438613d5a
1523514630
hex16a2923c

379753020 has 36 divisors (see below), whose sum is σ = 1151918040. Its totient is φ = 101267424.

The previous prime is 379753001. The next prime is 379753039. The reversal of 379753020 is 20357973.

It is a happy number.

379753020 is a `hidden beast` number, since 37 + 97 + 530 + 2 + 0 = 666.

379753020 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 (379753001) and next prime (379753039).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3797530203 (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 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 11 ways as a sum of consecutive naturals, for example, 1054690 + ... + 1055049.

Almost surely, 2379753020 is an apocalyptic number.

379753020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379753020 is an abundant number, since it is smaller than the sum of its proper divisors (772165020).

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

379753020 is a wasteful number, since it uses less digits than its factorization.

379753020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109754 (or 2109749 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 379753020 is about 19487.2527566099. The cubic root of 379753020 is about 724.1586879858.

The spelling of 379753020 in words is "three hundred seventy-nine million, seven hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2109739 4219478 6329217 8438956 10548695 12658434 18987651 21097390 25316868 31646085 37975302 42194780 63292170 75950604 94938255 126584340 189876510 379753020