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3442224120 = 2335131218971
BaseRepresentation
bin1100110100101100…
…0010101111111000
322212220011002210020
43031023002233320
524022202132440
61325322450440
7151205264556
oct31513025770
98786132706
103442224120
111507055a25
12800963a20
1342b1bab0a
1424923cbd6
151522e83d0
hexcd2c2bf8

3442224120 has 64 divisors (see below), whose sum is σ = 10405549440. Its totient is φ = 910915200.

The previous prime is 3442224119. The next prime is 3442224131. The reversal of 3442224120 is 214222443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93766 + ... + 125205.

It is an arithmetic number, because the mean of its divisors is an integer number (162586710).

Almost surely, 23442224120 is an apocalyptic number.

3442224120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442224120 is an abundant number, since it is smaller than the sum of its proper divisors (6963325320).

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

3442224120 is a wasteful number, since it uses less digits than its factorization.

3442224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219116 (or 219112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3442224120 is about 58670.4705963741. The cubic root of 3442224120 is about 1509.8937281758.

Adding to 3442224120 its reverse (214222443), we get a palindrome (3656446563).

The spelling of 3442224120 in words is "three billion, four hundred forty-two million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 218971 437942 656913 875884 1094855 1313826 1751768 2189710 2627652 3284565 4379420 5255304 6569130 8758840 13138260 26276520 28685201 57370402 86055603 114740804 143426005 172111206 229481608 286852010 344222412 430278015 573704020 688444824 860556030 1147408040 1721112060 3442224120