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980362240 = 210511132103
BaseRepresentation
bin111010011011110…
…010010000000000
32112022201120011121
4322123302100000
54001433042430
6241140322024
733202640644
oct7233622000
92468646147
10980362240
11463430730
122343a3314
13128152900
14942b8c24
155b102a7a
hex3a6f2400

980362240 has 264 divisors, whose sum is σ = 2805012288. Its totient is φ = 325877760.

The previous prime is 980362217. The next prime is 980362267. The reversal of 980362240 is 42263089.

It is a super-2 number, since 2×9803622402 = 1922220243235635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 980362196 and 980362205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9518029 + ... + 9518131.

Almost surely, 2980362240 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 980362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402506144).

980362240 is an abundant number, since it is smaller than the sum of its proper divisors (1824650048).

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

980362240 is a wasteful number, since it uses less digits than its factorization.

980362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 980362240 is about 31310.7368166257. The cubic root of 980362240 is about 993.4107572441.

The spelling of 980362240 in words is "nine hundred eighty million, three hundred sixty-two thousand, two hundred forty".