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34423144 = 2373179251
BaseRepresentation
bin1000001101010…
…0000101101000
32101202212200021
42003110011220
532303020034
63225450224
7565410010
oct203240550
971685607
1034423144
1118481688
12b640974
137193332
144800c40
15304e6b4
hex20d4168

34423144 has 64 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 14040000.

The previous prime is 34423141. The next prime is 34423163. The reversal of 34423144 is 44132443.

It is not an unprimeable number, because it can be changed into a prime (34423141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137019 + ... + 137269.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 234423144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

34423144 is an abundant number, since it is smaller than the sum of its proper divisors (42991256).

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

34423144 is a wasteful number, since it uses less digits than its factorization.

34423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 34423144 is about 5867.1239973261. The cubic root of 34423144 is about 325.2995864769.

Adding to 34423144 its reverse (44132443), we get a palindrome (78555587).

The spelling of 34423144 in words is "thirty-four million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 79 124 158 217 248 251 316 434 502 553 632 868 1004 1106 1736 1757 2008 2212 2449 3514 4424 4898 7028 7781 9796 14056 15562 17143 19592 19829 31124 34286 39658 54467 62248 68572 79316 108934 137144 138803 158632 217868 277606 435736 555212 614699 1110424 1229398 2458796 4302893 4917592 8605786 17211572 34423144