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1310343040 = 2756073373
BaseRepresentation
bin100111000011010…
…0011111110000000
310101022122022201201
41032012203332000
510140421434130
6334005110544
744320506046
oct11606437600
93338568651
101310343040
11612722136
123069b8454
1317b619a16
14c6054396
157a084bca
hex4e1a3f80

1310343040 has 64 divisors (see below), whose sum is σ = 3138629760. Its totient is φ = 523118592.

The previous prime is 1310343029. The next prime is 1310343071. The reversal of 1310343040 is 403430131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1310342999 and 1310343017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386794 + ... + 390166.

It is an arithmetic number, because the mean of its divisors is an integer number (49041090).

Almost surely, 21310343040 is an apocalyptic number.

1310343040 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 1310343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569314880).

1310343040 is an abundant number, since it is smaller than the sum of its proper divisors (1828286720).

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

1310343040 is an equidigital number, since it uses as much as digits as its factorization.

1310343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1310343040 is about 36198.6607487073. The cubic root of 1310343040 is about 1094.2796816646.

Adding to 1310343040 its reverse (403430131), we get a palindrome (1713773171).

The spelling of 1310343040 in words is "one billion, three hundred ten million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 607 640 1214 2428 3035 3373 4856 6070 6746 9712 12140 13492 16865 19424 24280 26984 33730 38848 48560 53968 67460 77696 97120 107936 134920 194240 215872 269840 388480 431744 539680 1079360 2047411 2158720 4094822 8189644 10237055 16379288 20474110 32758576 40948220 65517152 81896440 131034304 163792880 262068608 327585760 655171520 1310343040