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980369408 = 214531129
BaseRepresentation
bin111010011011110…
…100000000000000
32112022201221000002
4322123310000000
54001433310113
6241140415132
733203000564
oct7233640000
92468657002
10980369408
11463436057
122343a74a8
13128155c55
14942bb6a4
155b104c58
hex3a6f4000

980369408 has 60 divisors (see below), whose sum is σ = 1999442340. Its totient is φ = 480509952.

The previous prime is 980369407. The next prime is 980369437. The reversal of 980369408 is 804963089.

It can be written as a sum of positive squares in 2 ways, for example, as 363741184 + 616628224 = 19072^2 + 24832^2 .

It is a super-2 number, since 2×9803694082 = 1922248352284540928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980369407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 867788 + ... + 868916.

It is an arithmetic number, because the mean of its divisors is an integer number (33324039).

Almost surely, 2980369408 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 980369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999721170).

980369408 is an abundant number, since it is smaller than the sum of its proper divisors (1019072932).

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

980369408 is an equidigital number, since it uses as much as digits as its factorization.

980369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 980369408 is about 31310.8512819438. The cubic root of 980369408 is about 993.4131783733.

The spelling of 980369408 in words is "nine hundred eighty million, three hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1129 1696 2048 2258 3392 4096 4516 6784 8192 9032 13568 16384 18064 27136 36128 54272 59837 72256 108544 119674 144512 217088 239348 289024 434176 478696 578048 868352 957392 1156096 1914784 2312192 3829568 4624384 7659136 9248768 15318272 18497536 30636544 61273088 122546176 245092352 490184704 980369408