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731820096 = 2634724367
BaseRepresentation
bin101011100111101…
…011000001000000
31220000001022110000
4223213223001000
52444321220341
6200341240000
724064240200
oct5347530100
91800038400
10731820096
113461032a7
12185103000
13b8800957
146d29c400
15443aa8b6
hex2b9eb040

731820096 has 420 divisors, whose sum is σ = 2620749648. Its totient is φ = 201180672.

The previous prime is 731820091. The next prime is 731820107. The reversal of 731820096 is 690028137.

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

It is a self number, because there is not a number n which added to its sum of digits gives 731820096.

It is not an unprimeable number, because it can be changed into a prime (731820091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10922655 + ... + 10922721.

Almost surely, 2731820096 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 731820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310374824).

731820096 is an abundant number, since it is smaller than the sum of its proper divisors (1888929552).

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

731820096 is a wasteful number, since it uses less digits than its factorization.

731820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 731820096 is about 27052.1735910444. The cubic root of 731820096 is about 901.1590400550.

The spelling of 731820096 in words is "seven hundred thirty-one million, eight hundred twenty thousand, ninety-six".