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12400434 = 2323171313
BaseRepresentation
bin101111010011…
…011100110010
3212100000012100
4233103130302
511133303214
61121441230
7210254604
oct57233462
925300170
1012400434
116aaa6a2
1241a0216
132752347
14190b174
15114e309
hexbd3732

12400434 has 48 divisors (see below), whose sum is σ = 28214784. Its totient is φ = 3931200.

The previous prime is 12400397. The next prime is 12400441. The reversal of 12400434 is 43400421.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39462 + ... + 39774.

It is an arithmetic number, because the mean of its divisors is an integer number (587808).

Almost surely, 212400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107392).

12400434 is an abundant number, since it is smaller than the sum of its proper divisors (15814350).

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

12400434 is a wasteful number, since it uses less digits than its factorization.

12400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

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

The square root of 12400434 is about 3521.4249956516. The cubic root of 12400434 is about 231.4616057750.

Adding to 12400434 its reverse (43400421), we get a palindrome (55800855).

The spelling of 12400434 in words is "twelve million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 313 426 558 626 639 939 1278 1878 2201 2817 4402 5634 6603 9703 13206 19406 19809 22223 29109 39618 44446 58218 66669 87327 133338 174654 200007 400014 688913 1377826 2066739 4133478 6200217 12400434