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2349372480 = 263571326893
BaseRepresentation
bin1000110000001000…
…1001010001000000
320001201202111011120
42030002021101000
514302414404410
61025043112240
7112135223310
oct21402112100
96051674146
102349372480
11aa6183354
12556972680
132b5970a40
14184041440
15db3c5570
hex8c089440

2349372480 has 224 divisors, whose sum is σ = 9180966144. Its totient is φ = 495673344.

The previous prime is 2349372469. The next prime is 2349372481. The reversal of 2349372480 is 842739432.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (2349372481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73914 + ... + 100806.

It is an arithmetic number, because the mean of its divisors is an integer number (40986456).

Almost surely, 22349372480 is an apocalyptic number.

2349372480 is a gapful number since it is divisible by the number (20) 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 2349372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590483072).

2349372480 is an abundant number, since it is smaller than the sum of its proper divisors (6831593664).

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

2349372480 is a wasteful number, since it uses less digits than its factorization.

2349372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26933 (or 26923 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2349372480 is about 48470.3257674219. The cubic root of 2349372480 is about 1329.3845457413.

The spelling of 2349372480 in words is "two billion, three hundred forty-nine million, three hundred seventy-two thousand, four hundred eighty".