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1310343960 = 2335311632161
BaseRepresentation
bin100111000011010…
…0100001100011000
310101022122100222210
41032012210030120
510140422001320
6334005115120
744320511532
oct11606441430
93338570883
101310343960
116127228a2
123069b8aa0
1317b61a273
14c6054852
157a0850e0
hex4e1a4318

1310343960 has 128 divisors (see below), whose sum is σ = 4084623360. Its totient is φ = 335923200.

The previous prime is 1310343953. The next prime is 1310343961. The reversal of 1310343960 is 693430131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310343961) 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, 605280 + ... + 607440.

It is an arithmetic number, because the mean of its divisors is an integer number (31911120).

Almost surely, 21310343960 is an apocalyptic number.

1310343960 is a gapful number since it is divisible by the number (10) 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 1310343960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042311680).

1310343960 is an abundant number, since it is smaller than the sum of its proper divisors (2774279400).

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

1310343960 is a wasteful number, since it uses less digits than its factorization.

1310343960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1310343960 is about 36198.6734563575. The cubic root of 1310343960 is about 1094.2799377647.

The spelling of 1310343960 in words is "one billion, three hundred ten million, three hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 163 186 248 310 326 372 465 489 620 652 744 815 930 978 1240 1304 1630 1860 1956 2161 2445 3260 3720 3912 4322 4890 5053 6483 6520 8644 9780 10106 10805 12966 15159 17288 19560 20212 21610 25265 25932 30318 32415 40424 43220 50530 51864 60636 64830 66991 75795 86440 101060 121272 129660 133982 151590 200973 202120 259320 267964 303180 334955 352243 401946 535928 606360 669910 704486 803892 1004865 1056729 1339820 1408972 1607784 1761215 2009730 2113458 2679640 2817944 3522430 4019460 4226916 5283645 7044860 8038920 8453832 10567290 10919533 14089720 21134580 21839066 32758599 42269160 43678132 54597665 65517198 87356264 109195330 131034396 163792995 218390660 262068792 327585990 436781320 655171980 1310343960