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124441434 = 23413371597
BaseRepresentation
bin1110110101011…
…01001101011010
322200011021120000
413122231031122
5223324111214
620203113430
73040510005
oct732551532
9280137500
10124441434
1164275767
1235812876
131ca206b0
141275453c
15add1809
hex76ad35a

124441434 has 80 divisors (see below), whose sum is σ = 308599368. Its totient is φ = 37231488.

The previous prime is 124441423. The next prime is 124441453. The reversal of 124441434 is 434144421.

124441434 is a `hidden beast` number, since 1 + 244 + 414 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93605625 + 30835809 = 9675^2 + 5553^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 124441398 and 124441407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77124 + ... + 78720.

Almost surely, 2124441434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154299684).

124441434 is an abundant number, since it is smaller than the sum of its proper divisors (184157934).

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

124441434 is a wasteful number, since it uses less digits than its factorization.

124441434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 124441434 is about 11155.3320882885. The cubic root of 124441434 is about 499.2541332522.

Adding to 124441434 its reverse (434144421), we get a palindrome (558585855).

The spelling of 124441434 in words is "one hundred twenty-four million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1443 1597 1998 2106 2886 2997 3194 4329 4791 5994 8658 9582 12987 14373 20761 25974 28746 38961 41522 43119 59089 62283 77922 86238 118178 124566 129357 177267 186849 258714 354534 373698 531801 560547 768157 1063602 1121094 1536314 1595403 1681641 2304471 3190806 3363282 4608942 4786209 6913413 9572418 13826826 20740239 41480478 62220717 124441434