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740426400 = 25335275983
BaseRepresentation
bin101100001000100…
…000001010100000
31220121020120002000
4230020200022200
53004022121100
6201245524000
724230343360
oct5410401240
91817216060
10740426400
1134aa5134a
12187b73600
13ba52503c
147049c9a0
154500a900
hex2c2202a0

740426400 has 576 divisors, whose sum is σ = 3149798400. Its totient is φ = 164367360.

The previous prime is 740426369. The next prime is 740426429. The reversal of 740426400 is 4624047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8920759 + ... + 8920841.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2740426400 is an apocalyptic number.

740426400 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 740426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

740426400 is an abundant number, since it is smaller than the sum of its proper divisors (2409372000).

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

740426400 is a wasteful number, since it uses less digits than its factorization.

740426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 740426400 is about 27210.7772766601. Note that the first 3 decimals coincide. The cubic root of 740426400 is about 904.6778662831.

The spelling of 740426400 in words is "seven hundred forty million, four hundred twenty-six thousand, four hundred".