Search a number
-
+
730739100 = 2235271322971
BaseRepresentation
bin101011100011100…
…011000110011100
31212221000101121010
4223203203012130
52444032122400
6200302135220
724052115460
oct5343430634
91787011533
10730739100
11345535113
12184881510
13b8512900
146d09a4a0
1544245450
hex2b8e319c

730739100 has 432 divisors, whose sum is σ = 2744824320. Its totient is φ = 146764800.

The previous prime is 730739089. The next prime is 730739167. The reversal of 730739100 is 1937037.

730739100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10292065 + ... + 10292135.

It is an arithmetic number, because the mean of its divisors is an integer number (6353760).

Almost surely, 2730739100 is an apocalyptic number.

730739100 is a gapful number since it is divisible by the number (70) 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 730739100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372412160).

730739100 is an abundant number, since it is smaller than the sum of its proper divisors (2014085220).

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

730739100 is a wasteful number, since it uses less digits than its factorization.

730739100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 730739100 is about 27032.1863710651. The cubic root of 730739100 is about 900.7151106582.

The spelling of 730739100 in words is "seven hundred thirty million, seven hundred thirty-nine thousand, one hundred".