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2424340032 = 26315183621
BaseRepresentation
bin1001000010000000…
…0111111001000000
320020221211020022120
42100200013321000
514431112340112
61040322004240
7114035356512
oct22040077100
96227736276
102424340032
111034527604
12577aa6680
132c835b63a
1418dd97bb2
15e2c82e8c
hex90807e40

2424340032 has 56 divisors (see below), whose sum is σ = 6456956352. Its totient is φ = 802752000.

The previous prime is 2424340013. The next prime is 2424340033. The reversal of 2424340032 is 2300434242.

It is a super-2 number, since 2×24243400322 = 11754849181515522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2424339984 and 2424340011.

It is not an unprimeable number, because it can be changed into a prime (2424340033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12819 + ... + 70802.

It is an arithmetic number, because the mean of its divisors is an integer number (115302792).

Almost surely, 22424340032 is an apocalyptic number.

It is an amenable number.

2424340032 is an abundant number, since it is smaller than the sum of its proper divisors (4032616320).

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

2424340032 is a wasteful number, since it uses less digits than its factorization.

2424340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83787 (or 83777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2424340032 is about 49237.5875932199. The cubic root of 2424340032 is about 1343.3768014936.

Adding to 2424340032 its reverse (2300434242), we get a palindrome (4724774274).

The spelling of 2424340032 in words is "two billion, four hundred twenty-four million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 28992 83621 167242 250863 334484 501726 668968 1003452 1337936 2006904 2675872 4013808 5351744 8027616 12626771 16055232 25253542 37880313 50507084 75760626 101014168 151521252 202028336 303042504 404056672 606085008 808113344 1212170016 2424340032