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980376384 = 263134761137
BaseRepresentation
bin111010011011110…
…101101101000000
32112022202021120110
4322123311231000
54001434021014
6241140511320
733203030121
oct7233655500
92468667513
10980376384
11463440319
122343ab540
13128159190
14942c0048
155b106d59
hex3a6f5b40

980376384 has 224 divisors, whose sum is σ = 2920813056. Its totient is φ = 288276480.

The previous prime is 980376367. The next prime is 980376413. The reversal of 980376384 is 483673089.

It is a super-2 number, since 2×9803763842 = 1922275708609830912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155964 + ... + 7156100.

It is an arithmetic number, because the mean of its divisors is an integer number (13039344).

Almost surely, 2980376384 is an apocalyptic number.

980376384 is a gapful number since it is divisible by the number (94) 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 980376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460406528).

980376384 is an abundant number, since it is smaller than the sum of its proper divisors (1940436672).

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

980376384 is a wasteful number, since it uses less digits than its factorization.

980376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 980376384 is about 31310.9626808247. The cubic root of 980376384 is about 993.4155346395.

The spelling of 980376384 in words is "nine hundred eighty million, three hundred seventy-six thousand, three hundred eighty-four".