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740345760 = 253257112607
BaseRepresentation
bin101100001000001…
…100011110100000
31220121002110110100
4230020030132200
53004012031020
6201244102400
724226556310
oct5410143640
91817073410
10740345760
1134a9a6800
12187b34a00
13ba4c741b
147047b440
1544ee1a90
hex2c20c7a0

740345760 has 432 divisors, whose sum is σ = 3178925568. Its totient is φ = 153584640.

The previous prime is 740345743. The next prime is 740345777. The reversal of 740345760 is 67543047.

It is an interprime number because it is at equal distance from previous prime (740345743) and next prime (740345777).

It is a super-2 number, since 2×7403457602 = 1096223688699955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1219377 + ... + 1219983.

It is an arithmetic number, because the mean of its divisors is an integer number (7358624).

Almost surely, 2740345760 is an apocalyptic number.

740345760 is a gapful number since it is divisible by the number (70) 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 740345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589462784).

740345760 is an abundant number, since it is smaller than the sum of its proper divisors (2438579808).

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

740345760 is a wasteful number, since it uses less digits than its factorization.

740345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 740345760 is about 27209.2954704821. The cubic root of 740345760 is about 904.6450222031.

The spelling of 740345760 in words is "seven hundred forty million, three hundred forty-five thousand, seven hundred sixty".