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740378880 = 2834537193
BaseRepresentation
bin101100001000010…
…100100100000000
31220121011010220000
4230020110210000
53004014111010
6201244520000
724230055003
oct5410244400
91817133800
10740378880
1134aa1967a
12187b50000
13ba509517
147048953a
1544eeb7c0
hex2c214900

740378880 has 360 divisors, whose sum is σ = 2734908792. Its totient is φ = 191102976.

The previous prime is 740378869. The next prime is 740378893. The reversal of 740378880 is 88873047.

It can be written as a sum of positive squares in 4 ways, for example, as 119771136 + 620607744 = 10944^2 + 24912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3836064 + ... + 3836256.

Almost surely, 2740378880 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 740378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367454396).

740378880 is an abundant number, since it is smaller than the sum of its proper divisors (1994529912).

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

740378880 is a wasteful number, since it uses less digits than its factorization.

740378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 740378880 is about 27209.9040792135. The cubic root of 740378880 is about 904.6585120245.

The spelling of 740378880 in words is "seven hundred forty million, three hundred seventy-eight thousand, eight hundred eighty".