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645468372 = 223324124799
BaseRepresentation
bin100110011110010…
…001000011010100
31122222120012011000
4212132101003110
52310214441442
6144014343300
721665250663
oct4636210324
91588505130
10645468372
11301393a3a
121601bab30
13a3958463
1461a20dda
153b9eed4c
hex267910d4

645468372 has 48 divisors (see below), whose sum is σ = 1680448000. Its totient is φ = 214254720.

The previous prime is 645468353. The next prime is 645468377. The reversal of 645468372 is 273864546.

It is a super-3 number, since 3×6454683723 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645468377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13629 + ... + 38427.

Almost surely, 2645468372 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 645468372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840224000).

645468372 is an abundant number, since it is smaller than the sum of its proper divisors (1034979628).

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

645468372 is a wasteful number, since it uses less digits than its factorization.

645468372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25053 (or 25045 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 645468372 is about 25406.0695897654. The cubic root of 645468372 is about 864.2213456812.

The spelling of 645468372 in words is "six hundred forty-five million, four hundred sixty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4338 6507 8676 13014 24799 26028 49598 74397 99196 148794 223191 297588 446382 669573 892764 1339146 2678292 5976559 11953118 17929677 23906236 35859354 53789031 71718708 107578062 161367093 215156124 322734186 645468372