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1343964960 = 25355132659
BaseRepresentation
bin101000000011011…
…0100011100100000
310110122220111100000
41100012310130200
510223023334320
6341205500000
745206341122
oct12006643440
93418814300
101343964960
1162a6a6848
12316111600
1318558c450
14ca6c7212
157cec6c90
hex501b4720

1343964960 has 288 divisors, whose sum is σ = 5123926080. Its totient is φ = 330697728.

The previous prime is 1343964959. The next prime is 1343964961. The reversal of 1343964960 is 694693431.

It is an interprime number because it is at equal distance from previous prime (1343964959) and next prime (1343964961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1343964961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504111 + ... + 506769.

It is an arithmetic number, because the mean of its divisors is an integer number (17791410).

Almost surely, 21343964960 is an apocalyptic number.

1343964960 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 1343964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561963040).

1343964960 is an abundant number, since it is smaller than the sum of its proper divisors (3779961120).

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

1343964960 is a wasteful number, since it uses less digits than its factorization.

1343964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1343964960 is about 36660.1276593522. The cubic root of 1343964960 is about 1103.5600799232.

The spelling of 1343964960 in words is "one billion, three hundred forty-three million, nine hundred sixty-four thousand, nine hundred sixty".