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1344760320 = 2935232331
BaseRepresentation
bin101000000100111…
…0110101000000000
310110201101220100210
41100021312220000
510223224312240
6341234514120
745216163011
oct12011665000
93421356323
101344760320
1163009a372
12316435940
131857aa487
14ca853008
157d0d2780
hex50276a00

1344760320 has 240 divisors, whose sum is σ = 4507648992. Its totient is φ = 341975040.

The previous prime is 1344760303. The next prime is 1344760349. The reversal of 1344760320 is 230674431.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062555 + ... + 4062885.

Almost surely, 21344760320 is an apocalyptic number.

1344760320 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 1344760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253824496).

1344760320 is an abundant number, since it is smaller than the sum of its proper divisors (3162888672).

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

1344760320 is an equidigital number, since it uses as much as digits as its factorization.

1344760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1344760320 is about 36670.9738076316. The cubic root of 1344760320 is about 1103.7777330320. Note that the first 4 decimals are identical.

The spelling of 1344760320 in words is "one billion, three hundred forty-four million, seven hundred sixty thousand, three hundred twenty".