Search a number
-
+
722057328 = 24341314253
BaseRepresentation
bin101011000010011…
…011100001110000
31212022200022110000
4223002123201300
52434321313303
6155352110000
723615246256
oct5302334160
91768608400
10722057328
113406453a3
12181995300
13b6793075
146bc7a5d6
15435ccda3
hex2b09b870

722057328 has 100 divisors (see below), whose sum is σ = 2106291528. Its totient is φ = 238792320.

The previous prime is 722057321. The next prime is 722057351. The reversal of 722057328 is 823750227.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 722057292 and 722057301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722057321) 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 19 ways as a sum of consecutive naturals, for example, 167650 + ... + 171902.

Almost surely, 2722057328 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 722057328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053145764).

722057328 is an abundant number, since it is smaller than the sum of its proper divisors (1384234200).

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

722057328 is a wasteful number, since it uses less digits than its factorization.

722057328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 722057328 is about 26871.1244275337. The cubic root of 722057328 is about 897.1338152283.

The spelling of 722057328 in words is "seven hundred twenty-two million, fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1572 2096 2358 3144 3537 4253 4716 6288 7074 8506 9432 10611 12759 14148 17012 18864 21222 25518 28296 34024 38277 42444 51036 56592 68048 76554 84888 102072 114831 153108 169776 204144 229662 306216 344493 459324 557143 612432 688986 918648 1114286 1377972 1671429 1837296 2228572 2755944 3342858 4457144 5014287 5511888 6685716 8914288 10028574 13371432 15042861 20057148 26742864 30085722 40114296 45128583 60171444 80228592 90257166 120342888 180514332 240685776 361028664 722057328