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634140 = 2232513271
BaseRepresentation
bin10011010110100011100
31012012212200
42122310130
5130243030
621331500
75250543
oct2326434
91165780
10634140
113a3491
12266b90
13192840
1412715a
15c7d60
hex9ad1c

634140 has 72 divisors (see below), whose sum is σ = 2079168. Its totient is φ = 155520.

The previous prime is 634103. The next prime is 634141. The reversal of 634140 is 41436.

634140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634141) by changing a digit.

634140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205 + ... + 2475.

2634140 is an apocalyptic number.

634140 is a gapful number since it is divisible by the number (60) 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 634140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039584).

634140 is an abundant number, since it is smaller than the sum of its proper divisors (1445028).

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

634140 is a wasteful number, since it uses less digits than its factorization.

634140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 634140 is about 796.3290777059. The cubic root of 634140 is about 85.9135601636.

Adding to 634140 its reverse (41436), we get a palindrome (675576).

Subtracting from 634140 its reverse (41436), we obtain a cube (592704 = 843).

The spelling of 634140 in words is "six hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 271 390 468 542 585 780 813 1084 1170 1355 1626 2340 2439 2710 3252 3523 4065 4878 5420 7046 8130 9756 10569 12195 14092 16260 17615 21138 24390 31707 35230 42276 48780 52845 63414 70460 105690 126828 158535 211380 317070 634140