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4345720624 = 247219129021
BaseRepresentation
bin1000000110000011…
…00110111100110000
3102012212020110222201
410003001212330300
532400001024444
61555115512544
7212456005300
oct40301467460
912185213881
104345720624
111930056253
12a13458754
13543439b2b
142d3229600
151a67b5dd4
hex103066f30

4345720624 has 60 divisors (see below), whose sum is σ = 9846119808. Its totient is φ = 1852636800.

The previous prime is 4345720619. The next prime is 4345720663. The reversal of 4345720624 is 4260275434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135234 + ... + 164254.

Almost surely, 24345720624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345720624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923059904).

4345720624 is an abundant number, since it is smaller than the sum of its proper divisors (5500399184).

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

4345720624 is a wasteful number, since it uses less digits than its factorization.

4345720624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29234 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The square root of 4345720624 is about 65922.0799429144. The cubic root of 4345720624 is about 1631.8764223837.

The spelling of 4345720624 in words is "four billion, three hundred forty-five million, seven hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 191 196 382 392 764 784 1337 1528 2674 3056 5348 9359 10696 18718 21392 29021 37436 58042 74872 116084 149744 203147 232168 406294 464336 812588 1422029 1625176 2844058 3250352 5543011 5688116 11086022 11376232 22172044 22752464 38801077 44344088 77602154 88688176 155204308 271607539 310408616 543215078 620817232 1086430156 2172860312 4345720624