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423146064 = 243115315121
BaseRepresentation
bin11001001110001…
…011001001010000
31002111020001021110
4121032023021100
51331311133224
6105553253320
713325452665
oct3116131120
91074201243
10423146064
111a79449a0
12b9864240
13698869b3
14402aba6c
1527236929
hex1938b250

423146064 has 80 divisors (see below), whose sum is σ = 1215082944. Its totient is φ = 125798400.

The previous prime is 423146039. The next prime is 423146077. The reversal of 423146064 is 460641324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20424 + ... + 35544.

Almost surely, 2423146064 is an apocalyptic number.

423146064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607541472).

423146064 is an abundant number, since it is smaller than the sum of its proper divisors (791936880).

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

423146064 is a wasteful number, since it uses less digits than its factorization.

423146064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 423146064 is about 20570.5144320700. The cubic root of 423146064 is about 750.7524679147.

Adding to 423146064 its reverse (460641324), we get a palindrome (883787388).

The spelling of 423146064 in words is "four hundred twenty-three million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 15121 27984 30242 45363 60484 90726 120968 166331 181452 241936 332662 362904 498993 665324 725808 801413 997986 1330648 1602826 1995972 2404239 2661296 3205652 3991944 4808478 6411304 7983888 8815543 9616956 12822608 17631086 19233912 26446629 35262172 38467824 52893258 70524344 105786516 141048688 211573032 423146064