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10034442 = 235111877
BaseRepresentation
bin100110010001…
…110100001010
3200212210200000
4212101310022
510032100232
6555023430
7151201635
oct46216412
920783600
1010034442
115734030
12343ab76
132104452
141492c1c
15d3327c
hex991d0a

10034442 has 48 divisors (see below), whose sum is σ = 24609312. Its totient is φ = 3039120.

The previous prime is 10034441. The next prime is 10034447. The reversal of 10034442 is 24443001.

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

It is not an unprimeable number, because it can be changed into a prime (10034441) 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, 4408 + ... + 6284.

It is an arithmetic number, because the mean of its divisors is an integer number (512694).

Almost surely, 210034442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304656).

10034442 is an abundant number, since it is smaller than the sum of its proper divisors (14574870).

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

10034442 is a wasteful number, since it uses less digits than its factorization.

10034442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).

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

The square root of 10034442 is about 3167.7187375144. The cubic root of 10034442 is about 215.6905290438.

Adding to 10034442 its reverse (24443001), we get a palindrome (34477443).

It can be divided in two parts, 1003 and 4442, that added together give a palindrome (5445).

The spelling of 10034442 in words is "ten million, thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 1877 2673 3754 5346 5631 11262 16893 20647 33786 41294 50679 61941 101358 123882 152037 185823 304074 371646 456111 557469 912222 1114938 1672407 3344814 5017221 10034442