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740488320 = 2732511132931
BaseRepresentation
bin101100001000101…
…111010010000000
31220121100201000100
4230020233102000
53004031111240
6201251122400
724231022035
oct5410572200
91817321010
10740488320
1134aa93920
12187ba3400
13ba547290
14704b738c
154501de30
hex2c22f480

740488320 has 768 divisors, whose sum is σ = 3207859200. Its totient is φ = 154828800.

The previous prime is 740488313. The next prime is 740488327. The reversal of 740488320 is 23884047.

It is an interprime number because it is at equal distance from previous prime (740488313) and next prime (740488327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740488327) 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 95 ways as a sum of consecutive naturals, for example, 23886705 + ... + 23886735.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2740488320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

740488320 is an abundant number, since it is smaller than the sum of its proper divisors (2467370880).

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

740488320 is a wasteful number, since it uses less digits than its factorization.

740488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 740488320 is about 27211.9150373508. The cubic root of 740488320 is about 904.7030842260.

The spelling of 740488320 in words is "seven hundred forty million, four hundred eighty-eight thousand, three hundred twenty".