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124000434 = 23231613643
BaseRepresentation
bin1110110010000…
…01100010110010
322122022212121200
413121001202302
5223221003214
620145432030
73033662205
oct731014262
9278285550
10124000434
1163aa43a8
123563b616
131c8c7a4c
141267b93c
15ad45d09
hex76418b2

124000434 has 48 divisors (see below), whose sum is σ = 281958144. Its totient is φ = 39333600.

The previous prime is 124000421. The next prime is 124000439. The reversal of 124000434 is 434000421.

It is a super-2 number, since 2×1240004342 = 30752215264376712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

124000434 is a modest number, since divided by 434 gives 124 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (124000439) 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, 32217 + ... + 35859.

It is an arithmetic number, because the mean of its divisors is an integer number (5874128).

Almost surely, 2124000434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140979072).

124000434 is an abundant number, since it is smaller than the sum of its proper divisors (157957710).

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

124000434 is a wasteful number, since it uses less digits than its factorization.

124000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 124000434 is about 11135.5482128183. The cubic root of 124000434 is about 498.6636769968.

Adding to 124000434 its reverse (434000421), we get a palindrome (558000855).

The spelling of 124000434 in words is "one hundred twenty-four million, four hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3643 3782 5673 7286 10929 11346 17019 21858 32787 34038 65574 112933 222223 225866 338799 444446 666669 677598 1016397 1333338 2000007 2032794 4000014 6888913 13777826 20666739 41333478 62000217 124000434