Search a number
-
+
980322816 = 29311173413
BaseRepresentation
bin111010011011101…
…000101000000000
32112022122120002110
4322123220220000
54001430312231
6241135415320
733202415004
oct7233505000
92468576073
10980322816
11463404050
12234384540
1312813a995
14942a8704
155b0e6046
hex3a6e8a00

980322816 has 160 divisors (see below), whose sum is σ = 3017539008. Its totient is φ = 279511040.

The previous prime is 980322809. The next prime is 980322823. The reversal of 980322816 is 618223089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (980322809) and next prime (980322823).

It is a super-2 number, since 2×9803228162 = 1922065647140339712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285526 + ... + 288938.

Almost surely, 2980322816 is an apocalyptic number.

980322816 is a gapful number since it is divisible by the number (96) 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 980322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508769504).

980322816 is an abundant number, since it is smaller than the sum of its proper divisors (2037216192).

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

980322816 is a wasteful number, since it uses less digits than its factorization.

980322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 980322816 is about 31310.1072498962. The cubic root of 980322816 is about 993.3974408225.

The spelling of 980322816 in words is "nine hundred eighty million, three hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 3413 4224 4352 4488 5632 5984 6528 6826 8448 8704 8976 10239 11968 13056 13652 16896 17952 20478 23936 26112 27304 35904 37543 40956 47872 54608 58021 71808 75086 81912 95744 109216 112629 116042 143616 150172 163824 174063 218432 225258 232084 287232 300344 327648 348126 436864 450516 464168 600688 638231 655296 696252 873728 901032 928336 1201376 1276462 1310592 1392504 1747456 1802064 1856672 1914693 2402752 2552924 2621184 2785008 3604128 3713344 3829386 4805504 5105848 5242368 5570016 7208256 7426688 7658772 9611008 10211696 11140032 14416512 14853376 15317544 19222016 20423392 22280064 28833024 29706752 30635088 40846784 44560128 57666048 61270176 81693568 89120256 122540352 163387136 245080704 326774272 490161408 980322816