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730280772 = 223413213337
BaseRepresentation
bin101011100001110…
…011001101000100
31212220011002220000
4223201303031010
52443422441042
6200244241300
724045166314
oct5341631504
91786132800
10730280772
11345251831
121846a0230
13b83b2100
146cdbb444
15441a474c
hex2b873344

730280772 has 90 divisors (see below), whose sum is σ = 2067403338. Its totient is φ = 224684928.

The previous prime is 730280753. The next prime is 730280777. The reversal of 730280772 is 277082037.

It can be written as a sum of positive squares in 3 ways, for example, as 9036036 + 721244736 = 3006^2 + 26856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (730280777) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 48088 + ... + 61424.

Almost surely, 2730280772 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 730280772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033701669).

730280772 is an abundant number, since it is smaller than the sum of its proper divisors (1337122566).

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

730280772 is a wasteful number, since it uses less digits than its factorization.

730280772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13379 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 730280772 is about 27023.7075916685. The cubic root of 730280772 is about 900.5267583017.

The spelling of 730280772 in words is "seven hundred thirty million, two hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13337 13689 18252 26674 27378 40011 53348 54756 80022 120033 160044 173381 240066 346762 360099 480132 520143 693524 720198 1040286 1080297 1440396 1560429 2080572 2160594 2253953 3120858 4321188 4507906 4681287 6241716 6761859 9015812 9362574 13523718 14043861 18725148 20285577 27047436 28087722 40571154 56175444 60856731 81142308 121713462 182570193 243426924 365140386 730280772