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734220480 = 26357176427
BaseRepresentation
bin101011110000110…
…101000011000000
31220011120021011010
4223300311003000
53000430023410
6200504520520
724123525330
oct5360650300
91804507133
10734220480
113474a2794
12185a80140
13b91613b6
146d7250c0
15446d1c20
hex2bc350c0

734220480 has 224 divisors, whose sum is σ = 2821326336. Its totient is φ = 157925376.

The previous prime is 734220479. The next prime is 734220491. The reversal of 734220480 is 84022437.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111027 + ... + 117453.

Almost surely, 2734220480 is an apocalyptic number.

734220480 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 734220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410663168).

734220480 is an abundant number, since it is smaller than the sum of its proper divisors (2087105856).

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

734220480 is a wasteful number, since it uses less digits than its factorization.

734220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 734220480 is about 27096.5030954181. The cubic root of 734220480 is about 902.1432377741.

The spelling of 734220480 in words is "seven hundred thirty-four million, two hundred twenty thousand, four hundred eighty".