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740541312 = 2733724373
BaseRepresentation
bin101100001000111…
…100001110000000
31220121110101201000
4230020330032000
53004034310222
6201252212000
724231332400
oct5410741600
91817411630
10740541312
1135001a715
1218800a000
13ba565434
14704cc800
154502e9ac
hex2c23c380

740541312 has 192 divisors, whose sum is σ = 2543043600. Its totient is φ = 211534848.

The previous prime is 740541311. The next prime is 740541331. The reversal of 740541312 is 213145047.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740541311) 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 23 ways as a sum of consecutive naturals, for example, 167158 + ... + 171530.

Almost surely, 2740541312 is an apocalyptic number.

740541312 is a gapful number since it is divisible by the number (72) 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 740541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271521800).

740541312 is an abundant number, since it is smaller than the sum of its proper divisors (1802502288).

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

740541312 is a wasteful number, since it uses less digits than its factorization.

740541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 740541312 is about 27212.8887110501. Note that the first 3 decimals coincide. The cubic root of 740541312 is about 904.7246649770.

Adding to 740541312 its reverse (213145047), we get a palindrome (953686359).

The spelling of 740541312 in words is "seven hundred forty million, five hundred forty-one thousand, three hundred twelve".