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124342452 = 22341353557
BaseRepresentation
bin1110110100101…
…01000010110100
322122222020210000
413122111002310
5223312424302
620201031300
73036615303
oct732250264
9278866700
10124342452
1164208363
1235785530
131c9b7620
141272a43a
15adb231c
hex76950b4

124342452 has 120 divisors (see below), whose sum is σ = 357305256. Its totient is φ = 37469952.

The previous prime is 124342451. The next prime is 124342469. The reversal of 124342452 is 254243421.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 123743376 = 774^2 + 11124^2 .

It is a super-2 number, since 2×1243424522 = 30922090738744608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124342451) 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 39 ways as a sum of consecutive naturals, for example, 222958 + ... + 223514.

Almost surely, 2124342452 is an apocalyptic number.

124342452 is a gapful number since it is divisible by the number (12) 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 124342452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178652628).

124342452 is an abundant number, since it is smaller than the sum of its proper divisors (232962804).

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

124342452 is a wasteful number, since it uses less digits than its factorization.

124342452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 124342452 is about 11150.8946726260. The cubic root of 124342452 is about 499.1217275115.

Adding to 124342452 its reverse (254243421), we get a palindrome (378585873).

The spelling of 124342452 in words is "one hundred twenty-four million, three hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 212 234 318 324 351 468 477 557 636 689 702 954 1053 1114 1378 1404 1431 1671 1908 2067 2106 2228 2756 2862 3342 4134 4212 4293 5013 5724 6201 6684 7241 8268 8586 10026 12402 14482 15039 17172 18603 20052 21723 24804 28964 29521 30078 37206 43446 45117 55809 59042 60156 65169 74412 86892 88563 90234 111618 118084 130338 177126 180468 195507 223236 260676 265689 354252 383773 391014 531378 586521 767546 782028 797067 1062756 1151319 1173042 1535092 1594134 2302638 2346084 2391201 3188268 3453957 4605276 4782402 6907914 9564804 10361871 13815828 20723742 31085613 41447484 62171226 124342452