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730780632 = 2332171494007
BaseRepresentation
bin101011100011101…
…101001111011000
31212221002111120100
4223203231033120
52444034440012
6200303055400
724052350531
oct5343551730
91787074510
10730780632
1134556333a
121848a1560
13b852879a
146d0ab688
15442528dc
hex2b8ed3d8

730780632 has 96 divisors (see below), whose sum is σ = 2110212000. Its totient is φ = 227668992.

The previous prime is 730780627. The next prime is 730780643. The reversal of 730780632 is 236087037.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180373 + ... + 184379.

It is an arithmetic number, because the mean of its divisors is an integer number (21981375).

Almost surely, 2730780632 is an apocalyptic number.

730780632 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 730780632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055106000).

730780632 is an abundant number, since it is smaller than the sum of its proper divisors (1379431368).

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

730780632 is a wasteful number, since it uses less digits than its factorization.

730780632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 730780632 is about 27032.9545555050. The cubic root of 730780632 is about 900.7321745649.

The spelling of 730780632 in words is "seven hundred thirty million, seven hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 149 153 204 298 306 408 447 596 612 894 1192 1224 1341 1788 2533 2682 3576 4007 5066 5364 7599 8014 10132 10728 12021 15198 16028 20264 22797 24042 30396 32056 36063 45594 48084 60792 68119 72126 91188 96168 136238 144252 182376 204357 272476 288504 408714 544952 597043 613071 817428 1194086 1226142 1634856 1791129 2388172 2452284 3582258 4776344 4904568 5373387 7164516 10149731 10746774 14329032 20299462 21493548 30449193 40598924 42987096 60898386 81197848 91347579 121796772 182695158 243593544 365390316 730780632