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10434380 = 22511431103
BaseRepresentation
bin100111110011…
…011101001100
3201122010021112
4213303131030
510132400010
61011351152
7154455635
oct47633514
921563245
1010434380
115987560
1235b24b8
1322144b8
14155888c
15db1a05
hex9f374c

10434380 has 48 divisors (see below), whose sum is σ = 24482304. Its totient is φ = 3702720.

The previous prime is 10434349. The next prime is 10434409. The reversal of 10434380 is 8343401.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8909 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (510048).

Almost surely, 210434380 is an apocalyptic number.

10434380 is a gapful number since it is divisible by the number (10) 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 10434380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12241152).

10434380 is an abundant number, since it is smaller than the sum of its proper divisors (14047924).

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

10434380 is a wasteful number, since it uses less digits than its factorization.

10434380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10434380 is about 3230.2290940427. The cubic root of 10434380 is about 218.5188382573.

Adding to 10434380 its reverse (8343401), we get a palindrome (18777781).

The spelling of 10434380 in words is "ten million, four hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1103 1892 2206 2365 4412 4730 5515 9460 11030 12133 22060 24266 47429 48532 60665 94858 121330 189716 237145 242660 474290 521719 948580 1043438 2086876 2608595 5217190 10434380