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2319371424 = 25328053373
BaseRepresentation
bin1000101000111110…
…1100110010100000
312222122022021110100
42022033230302200
514222224341144
61022052102400
7111322221546
oct21217546240
95878267410
102319371424
11a90252097
12548904a00
132ac698436
14180071d96
15d894b269
hex8a3ecca0

2319371424 has 36 divisors (see below), whose sum is σ = 6595713306. Its totient is φ = 773123712.

The previous prime is 2319371419. The next prime is 2319371429. The reversal of 2319371424 is 4241739132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2319371419) and next prime (2319371429).

It can be written as a sum of positive squares in only one way, i.e., 2229728400 + 89643024 = 47220^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2319371429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4026399 + ... + 4026974.

Almost surely, 22319371424 is an apocalyptic number.

2319371424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2319371424 is an abundant number, since it is smaller than the sum of its proper divisors (4276341882).

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

2319371424 is a wasteful number, since it uses less digits than its factorization.

2319371424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8053389 (or 8053378 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2319371424 is about 48159.8528236954. The cubic root of 2319371424 is about 1323.7016210146.

The spelling of 2319371424 in words is "two billion, three hundred nineteen million, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8053373 16106746 24160119 32213492 48320238 64426984 72480357 96640476 128853968 144960714 193280952 257707936 289921428 386561904 579842856 773123808 1159685712 2319371424