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2342672388 = 223375875279
BaseRepresentation
bin1000101110100010…
…0101100000000100
320001021011002101000
42023220211200010
514244211004023
61024243333300
7112024246440
oct21350454004
96037132330
102342672388
11aa2417491
12554681230
132b44661a4
141831b9820
15daa00243
hex8ba25804

2342672388 has 96 divisors (see below), whose sum is σ = 6954393600. Its totient is φ = 668068128.

The previous prime is 2342672357. The next prime is 2342672401. The reversal of 2342672388 is 8832762432.

2342672388 is a `hidden beast` number, since 2 + 3 + 4 + 267 + 2 + 388 = 666.

It is a super-2 number, since 2×23426723882 = 10976227834995245088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441133 + ... + 446411.

It is an arithmetic number, because the mean of its divisors is an integer number (72441600).

Almost surely, 22342672388 is an apocalyptic number.

2342672388 is a gapful number since it is divisible by the number (28) 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 2342672388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477196800).

2342672388 is an abundant number, since it is smaller than the sum of its proper divisors (4611721212).

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

2342672388 is a wasteful number, since it uses less digits than its factorization.

2342672388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2342672388 is about 48401.1610191326. The cubic root of 2342672388 is about 1328.1196009584.

The spelling of 2342672388 in words is "two billion, three hundred forty-two million, six hundred seventy-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 587 756 1174 1761 2348 3522 4109 5279 5283 7044 8218 10558 10566 12327 15837 15849 16436 21116 21132 24654 31674 31698 36953 36981 47511 49308 63348 63396 73906 73962 95022 110859 110943 142533 147812 147924 190044 221718 221886 285066 332577 443436 443772 570132 665154 997731 1330308 1995462 3098773 3990924 6197546 9296319 12395092 18592638 21691411 27888957 37185276 43382822 55777914 65074233 83666871 86765644 111555828 130148466 167333742 195222699 260296932 334667484 390445398 585668097 780890796 1171336194 2342672388