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1303312320 = 26325452539
BaseRepresentation
bin100110110101110…
…1111011111000000
310100211102010101200
41031223233133000
510132121443240
6333154301200
744203654242
oct11553573700
93324363350
101303312320
1160975a922
12304587800
1317a02782b
14c5144092
1579646930
hex4daef7c0

1303312320 has 84 divisors (see below), whose sum is σ = 4482861240. Its totient is φ = 347549184.

The previous prime is 1303312313. The next prime is 1303312337. The reversal of 1303312320 is 232133031.

1303312320 is a `hidden beast` number, since 1 + 30 + 3 + 312 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1303312293 and 1303312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223390 + ... + 229149.

Almost surely, 21303312320 is an apocalyptic number.

1303312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303312320 is an abundant number, since it is smaller than the sum of its proper divisors (3179548920).

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

1303312320 is a wasteful number, since it uses less digits than its factorization.

1303312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452562 (or 452549 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303312320 is about 36101.4171466994. The cubic root of 1303312320 is about 1092.3190308845.

Adding to 1303312320 its reverse (232133031), we get a palindrome (1535445351).

It can be divided in two parts, 130331 and 2320, that added together give a cube (132651 = 513).

The spelling of 1303312320 in words is "one billion, three hundred three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 452539 905078 1357617 1810156 2262695 2715234 3620312 4072851 4525390 5430468 6788085 7240624 8145702 9050780 10860936 13576170 14481248 16291404 18101560 20364255 21721872 27152340 28962496 32582808 36203120 40728510 43443744 54304680 65165616 72406240 81457020 86887488 108609360 130331232 144812480 162914040 217218720 260662464 325828080 434437440 651656160 1303312320