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3453042120 = 2335115215021
BaseRepresentation
bin1100110111010001…
…0011110111001000
322220122111201021220
43031310103313020
524032434321440
61330350402040
7151366242123
oct31564236710
98818451256
103453042120
111512174720
12804500320
13430507ab8
1424a8573ba
151532338d0
hexcdd13dc8

3453042120 has 128 divisors (see below), whose sum is σ = 11324810880. Its totient is φ = 835328000.

The previous prime is 3453042101. The next prime is 3453042127. The reversal of 3453042120 is 212403543.

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

It is not an unprimeable number, because it can be changed into a prime (3453042127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 685210 + ... + 690230.

It is an arithmetic number, because the mean of its divisors is an integer number (88475085).

Almost surely, 23453042120 is an apocalyptic number.

3453042120 is a gapful number since it is divisible by the number (30) 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 3453042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662405440).

3453042120 is an abundant number, since it is smaller than the sum of its proper divisors (7871768760).

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

3453042120 is a wasteful number, since it uses less digits than its factorization.

3453042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3453042120 is about 58762.5911613843. The cubic root of 3453042120 is about 1511.4738062897.

Adding to 3453042120 its reverse (212403543), we get a palindrome (3665445663).

The spelling of 3453042120 in words is "three billion, four hundred fifty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 521 660 1042 1320 1563 2084 2605 3126 4168 5021 5210 5731 6252 7815 10042 10420 11462 12504 15063 15630 17193 20084 20840 22924 25105 28655 30126 31260 34386 40168 45848 50210 55231 57310 60252 62520 68772 75315 85965 100420 110462 114620 120504 137544 150630 165693 171930 200840 220924 229240 276155 301260 331386 343860 441848 552310 602520 662772 687720 828465 1104620 1325544 1656930 2209240 2615941 3313860 5231882 6627720 7847823 10463764 13079705 15695646 20927528 26159410 28775351 31391292 39239115 52318820 57550702 62782584 78478230 86326053 104637640 115101404 143876755 156956460 172652106 230202808 287753510 313912920 345304212 431630265 575507020 690608424 863260530 1151014040 1726521060 3453042120