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730031040 = 2632523103107
BaseRepresentation
bin101011100000110…
…110001111000000
31212212200102022200
4223200312033000
52443341443130
6200235033200
724043106244
oct5340661700
91785612280
10730031040
113450a1142
1218459b800
13b832553b
146cd54424
1544155760
hex2b8363c0

730031040 has 336 divisors, whose sum is σ = 2670340608. Its totient is φ = 182679552.

The previous prime is 730031039. The next prime is 730031041. The reversal of 730031040 is 40130037.

It is an interprime number because it is at equal distance from previous prime (730031039) and next prime (730031041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730031041) 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 47 ways as a sum of consecutive naturals, for example, 6822667 + ... + 6822773.

Almost surely, 2730031040 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 730031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335170304).

730031040 is an abundant number, since it is smaller than the sum of its proper divisors (1940309568).

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

730031040 is a wasteful number, since it uses less digits than its factorization.

730031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 730031040 is about 27019.0865870777. The cubic root of 730031040 is about 900.4240964229.

Adding to 730031040 its reverse (40130037), we get a palindrome (770161077).

The spelling of 730031040 in words is "seven hundred thirty million, thirty-one thousand, forty".