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634342140 = 2232512727749
BaseRepresentation
bin100101110011110…
…100101011111100
31122012121220211100
4211303310223330
52244342422030
6142540053100
721501550665
oct4563645374
91565556740
10634342140
112a6084703
12158534190
13a15610a3
146036636c
153aa53360
hex25cf4afc

634342140 has 72 divisors (see below), whose sum is σ = 1939392000. Its totient is φ = 167819904.

The previous prime is 634342129. The next prime is 634342147. The reversal of 634342140 is 41243436.

634342140 is a `hidden beast` number, since 634 + 3 + 4 + 21 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634342147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8986 + ... + 36734.

It is an arithmetic number, because the mean of its divisors is an integer number (26936000).

Almost surely, 2634342140 is an apocalyptic number.

634342140 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 634342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969696000).

634342140 is an abundant number, since it is smaller than the sum of its proper divisors (1305049860).

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

634342140 is a wasteful number, since it uses less digits than its factorization.

634342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27891 (or 27886 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 634342140 is about 25186.1497652976. The cubic root of 634342140 is about 859.2268786521.

Adding to 634342140 its reverse (41243436), we get a palindrome (675585576).

The spelling of 634342140 in words is "six hundred thirty-four million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 27749 55498 83247 110996 138745 166494 249741 277490 332988 416235 499482 554980 832470 998964 1248705 1664940 2497410 3524123 4994820 7048246 10572369 14096492 17620615 21144738 31717107 35241230 42289476 52861845 63434214 70482460 105723690 126868428 158585535 211447380 317171070 634342140