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8100088344 = 233337500409
BaseRepresentation
bin1111000101100110…
…11000101000011000
3202220111202010022000
413202303120220120
5113042110311334
63415433001000
7404504420625
oct74263305030
922814663260
108100088344
11348731a297
1216a0853160
139c11b7baa
1456babd34c
153261bb299
hex1e2cd8a18

8100088344 has 32 divisors (see below), whose sum is σ = 22500246000. Its totient is φ = 2700029376.

The previous prime is 8100088331. The next prime is 8100088349. The reversal of 8100088344 is 4438800018.

It is a super-2 number, since 2×81000883442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8100088299 and 8100088308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100088349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18749989 + ... + 18750420.

Almost surely, 28100088344 is an apocalyptic number.

It is an amenable number.

8100088344 is an abundant number, since it is smaller than the sum of its proper divisors (14400157656).

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

8100088344 is a wasteful number, since it uses less digits than its factorization.

8100088344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500424 (or 37500414 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8100088344 is about 90000.4907986618. The cubic root of 8100088344 is about 2008.3061515020.

The spelling of 8100088344 in words is "eight billion, one hundred million, eighty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37500409 75000818 112501227 150001636 225002454 300003272 337503681 450004908 675007362 900009816 1012511043 1350014724 2025022086 2700029448 4050044172 8100088344