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3442432 = 28717113
BaseRepresentation
bin1101001000011100000000
320110220010111
431020130000
51340124212
6201441104
741155150
oct15103400
96426114
103442432
111a41394
1211a0194
13936b56
14658760
1547eea7
hex348700

3442432 has 72 divisors (see below), whose sum is σ = 8388576. Its totient is φ = 1376256.

The previous prime is 3442427. The next prime is 3442441. The reversal of 3442432 is 2342443.

It is a hoax number, since the sum of its digits (22) 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30408 + ... + 30520.

It is an arithmetic number, because the mean of its divisors is an integer number (116508).

Almost surely, 23442432 is an apocalyptic number.

3442432 is a gapful number since it is divisible by the number (32) 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 3442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194288).

3442432 is an abundant number, since it is smaller than the sum of its proper divisors (4946144).

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

3442432 is a wasteful number, since it uses less digits than its factorization.

3442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 2304, while the sum is 22.

The square root of 3442432 is about 1855.3792065236. The cubic root of 3442432 is about 150.9924122322.

Adding to 3442432 its product of digits (2304), we get a square (3444736 = 18562).

Adding to 3442432 its reverse (2342443), we get a palindrome (5784875).

The spelling of 3442432 in words is "three million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 113 119 128 136 224 226 238 256 272 448 452 476 544 791 896 904 952 1088 1582 1792 1808 1904 1921 2176 3164 3616 3808 3842 4352 6328 7232 7616 7684 12656 13447 14464 15232 15368 25312 26894 28928 30464 30736 50624 53788 61472 101248 107576 122944 202496 215152 245888 430304 491776 860608 1721216 3442432