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730419480 = 233257247881
BaseRepresentation
bin101011100010010…
…101000100011000
31212220102011011100
4223202111010120
52443441410410
6200251231400
724046314600
oct5342250430
91786364140
10730419480
11345336a6a
12184748560
13b843029b
146d015c00
15441d08c0
hex2b895118

730419480 has 288 divisors, whose sum is σ = 2823387840. Its totient is φ = 163215360.

The previous prime is 730419439. The next prime is 730419497. The reversal of 730419480 is 84914037.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828640 + ... + 829520.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2730419480 is an apocalyptic number.

730419480 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 730419480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

730419480 is an abundant number, since it is smaller than the sum of its proper divisors (2092968360).

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

730419480 is a wasteful number, since it uses less digits than its factorization.

730419480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 730419480 is about 27026.2738830198. The cubic root of 730419480 is about 900.5837694144.

The spelling of 730419480 in words is "seven hundred thirty million, four hundred nineteen thousand, four hundred eighty".