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45342468 = 223217431723
BaseRepresentation
bin1010110011110…
…1111100000100
310011022122011200
42230331330010
543101424333
64255502500
71060255533
oct254757404
9104278150
1045342468
112365a516
1213227a30
139517482
14604431a
153ea9c13
hex2b3df04

45342468 has 72 divisors (see below), whose sum is σ = 124252128. Its totient is φ = 13886208.

The previous prime is 45342449. The next prime is 45342469. The reversal of 45342468 is 86424354.

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 (45342469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25455 + ... + 27177.

It is an arithmetic number, because the mean of its divisors is an integer number (1725724).

Almost surely, 245342468 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 45342468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62126064).

45342468 is an abundant number, since it is smaller than the sum of its proper divisors (78909660).

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

45342468 is a wasteful number, since it uses less digits than its factorization.

45342468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1788 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45342468 is about 6733.6816081546. The cubic root of 45342468 is about 356.5893637847.

The spelling of 45342468 in words is "forty-five million, three hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 1723 2193 2924 3446 4386 5169 6579 6892 8772 10338 13158 15507 20676 26316 29291 31014 58582 62028 74089 87873 117164 148178 175746 222267 263619 296356 351492 444534 527238 666801 889068 1054476 1259513 1333602 2519026 2667204 3778539 5038052 7557078 11335617 15114156 22671234 45342468