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1314031032 = 2333192313921
BaseRepresentation
bin100111001010010…
…1000010110111000
310101120120200201000
41032110220112320
510142342443112
6334220125000
744364036156
oct11624502670
93346520630
101314031032
11614810a66
12308096760
1317c30b572
14c67343d6
157a5627dc
hex4e5285b8

1314031032 has 128 divisors (see below), whose sum is σ = 4009536000. Its totient is φ = 396887040.

The previous prime is 1314031021. The next prime is 1314031039. The reversal of 1314031032 is 2301304131.

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 = 1314030996 and 1314031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314031039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87432 + ... + 101352.

It is an arithmetic number, because the mean of its divisors is an integer number (31324500).

Almost surely, 21314031032 is an apocalyptic number.

1314031032 is a gapful number since it is divisible by the number (12) 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 1314031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004768000).

1314031032 is an abundant number, since it is smaller than the sum of its proper divisors (2695504968).

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

1314031032 is a wasteful number, since it uses less digits than its factorization.

1314031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1314031032 is about 36249.5659560221. The cubic root of 1314031032 is about 1095.3053455076.

Adding to 1314031032 its reverse (2301304131), we get a palindrome (3615335163).

The spelling of 1314031032 in words is "one billion, three hundred fourteen million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 513 552 621 684 828 874 1026 1242 1311 1368 1656 1748 2052 2484 2622 3496 3933 4104 4968 5244 7866 10488 11799 13921 15732 23598 27842 31464 41763 47196 55684 83526 94392 111368 125289 167052 250578 264499 320183 334104 375867 501156 528998 640366 751734 793497 960549 1002312 1057996 1280732 1503468 1586994 1921098 2115992 2380491 2561464 2881647 3006936 3173988 3842196 4760982 5763294 6083477 6347976 7141473 7684392 8644941 9521964 11526588 12166954 14282946 17289882 18250431 19043928 23053176 24333908 28565892 34579764 36500862 48667816 54751293 57131784 69159528 73001724 109502586 146003448 164253879 219005172 328507758 438010344 657015516 1314031032