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723730464 = 2534319007
BaseRepresentation
bin101011001000110…
…100000000100000
31212102211022120000
4223020310000200
52440233333324
6155452020000
723635415232
oct5310640040
91772738500
10723730464
11341588456
12182461600
13b6c2a7a2
146c194252
154380d9c9
hex2b234020

723730464 has 120 divisors (see below), whose sum is σ = 2197375488. Its totient is φ = 233435520.

The previous prime is 723730457. The next prime is 723730493. The reversal of 723730464 is 464037327.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75849 + ... + 84855.

Almost surely, 2723730464 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 723730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098687744).

723730464 is an abundant number, since it is smaller than the sum of its proper divisors (1473645024).

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

723730464 is a wasteful number, since it uses less digits than its factorization.

723730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 723730464 is about 26902.2390146248. The cubic root of 723730464 is about 897.8262205414.

The spelling of 723730464 in words is "seven hundred twenty-three million, seven hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 9007 10044 13392 18014 20088 26784 27021 36028 40176 54042 72056 80352 81063 108084 144112 162126 216168 243189 279217 288224 324252 432336 486378 558434 648504 729567 837651 864672 972756 1116868 1297008 1459134 1675302 1945512 2233736 2512953 2594016 2918268 3350604 3891024 4467472 5025906 5836536 6701208 7538859 7782048 8934944 10051812 11673072 13402416 15077718 20103624 22616577 23346144 26804832 30155436 40207248 45233154 60310872 80414496 90466308 120621744 180932616 241243488 361865232 723730464