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42334452 = 22327389181
BaseRepresentation
bin1010000101111…
…1100011110100
32221122210221200
42201133203310
541314200302
64111212500
71022560026
oct241374364
987583850
1042334452
1121995556
1212217130
138a03294
1458a0016
153ab381c
hex285f8f4

42334452 has 72 divisors (see below), whose sum is σ = 110302920. Its totient is φ = 13685760.

The previous prime is 42334429. The next prime is 42334459. The reversal of 42334452 is 25443324.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 42068196 = 516^2 + 6486^2 .

It is a super-2 number, since 2×423344522 = 3584411652280608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334459) 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, 233802 + ... + 233982.

It is an arithmetic number, because the mean of its divisors is an integer number (1531985).

Almost surely, 242334452 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 42334452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55151460).

42334452 is an abundant number, since it is smaller than the sum of its proper divisors (67968468).

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

42334452 is a wasteful number, since it uses less digits than its factorization.

42334452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 42334452 is about 6506.4930646240. The cubic root of 42334452 is about 348.5228960405.

Adding to 42334452 its reverse (25443324), we get a palindrome (67777776).

The spelling of 42334452 in words is "forty-two million, three hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 89 146 178 181 219 267 292 356 362 438 534 543 657 724 801 876 1068 1086 1314 1602 1629 2172 2628 3204 3258 6497 6516 12994 13213 16109 19491 25988 26426 32218 38982 39639 48327 52852 58473 64436 77964 79278 96654 116946 118917 144981 158556 193308 233892 237834 289962 475668 579924 1175957 2351914 3527871 4703828 7055742 10583613 14111484 21167226 42334452