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721340672 = 2813216673
BaseRepresentation
bin101010111111101…
…100100100000000
31212021022220101012
4222333230210000
52434130400142
6155324500052
723606203013
oct5277544400
91767286335
10721340672
113401a5a18
121816aa628
13b65a1b00
146bb3137a
15434da882
hex2afec900

721340672 has 54 divisors (see below), whose sum is σ = 1559235762. Its totient is φ = 332906496.

The previous prime is 721340671. The next prime is 721340699. The reversal of 721340672 is 276043127.

It can be written as a sum of positive squares in 3 ways, for example, as 48664576 + 672676096 = 6976^2 + 25936^2 .

It is a super-3 number, since 3×7213406723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721340671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34928 + ... + 51600.

Almost surely, 2721340672 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 721340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779617881).

721340672 is an abundant number, since it is smaller than the sum of its proper divisors (837895090).

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

721340672 is a wasteful number, since it uses less digits than its factorization.

721340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16688 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 721340672 is about 26857.7860591673. The cubic root of 721340672 is about 896.8369093674.

Adding to 721340672 its reverse (276043127), we get a palindrome (997383799).

The spelling of 721340672 in words is "seven hundred twenty-one million, three hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 16673 21632 33346 43264 66692 133384 216749 266768 433498 533536 866996 1067072 1733992 2134144 2817737 3467984 4268288 5635474 6935968 11270948 13871936 22541896 27743872 45083792 55487744 90167584 180335168 360670336 721340672