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10434372 = 22313211317
BaseRepresentation
bin100111110011…
…011101000100
3201122010021020
4213303131010
510132344442
61011351140
7154455624
oct47633504
921563236
1010434372
115987553
1235b24b0
1322144b0
141558884
15db19ec
hex9f3744

10434372 has 48 divisors (see below), whose sum is σ = 26427072. Its totient is φ = 3185280.

The previous prime is 10434349. The next prime is 10434409. The reversal of 10434372 is 27343401.

It is a super-2 number, since 2×104343722 = 217752238068768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32758 + ... + 33074.

It is an arithmetic number, because the mean of its divisors is an integer number (550564).

Almost surely, 210434372 is an apocalyptic number.

10434372 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 10434372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213536).

10434372 is an abundant number, since it is smaller than the sum of its proper divisors (15992700).

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

10434372 is a wasteful number, since it uses less digits than its factorization.

10434372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 10434372 is about 3230.2278557402. The cubic root of 10434372 is about 218.5187824114.

Adding to 10434372 its reverse (27343401), we get a palindrome (37777773).

The spelling of 10434372 in words is "ten million, four hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 317 422 633 634 844 951 1266 1268 1902 2532 2743 3804 4121 5486 8229 8242 10972 12363 16458 16484 24726 32916 49452 66887 133774 200661 267548 401322 802644 869531 1739062 2608593 3478124 5217186 10434372