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1834898688 = 28327216253
BaseRepresentation
bin110110101011110…
…0101010100000000
311201212200111210200
41231113211110000
512224213224223
6502024125200
763320244600
oct15527452400
94655614720
101834898688
118618305a7
12432606800
132331bb98c
1413599cc00
15ab14da43
hex6d5e5500

1834898688 has 162 divisors, whose sum is σ = 6154593354. Its totient is φ = 524224512.

The previous prime is 1834898651. The next prime is 1834898693. The reversal of 1834898688 is 8868984381.

It can be written as a sum of positive squares in only one way, i.e., 1680344064 + 154554624 = 40992^2 + 12432^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104770 + ... + 121022.

It is an arithmetic number, because the mean of its divisors is an integer number (37991317).

Almost surely, 21834898688 is an apocalyptic number.

1834898688 is a gapful number since it is divisible by the number (18) 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 1834898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077296677).

1834898688 is an abundant number, since it is smaller than the sum of its proper divisors (4319694666).

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

1834898688 is a wasteful number, since it uses less digits than its factorization.

1834898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16289 (or 16265 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The square root of 1834898688 is about 42835.7174330021. The cubic root of 1834898688 is about 1224.2516463245.

The spelling of 1834898688 in words is "one billion, eight hundred thirty-four million, eight hundred ninety-eight thousand, six hundred eighty-eight".