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634540032 = 2123272459
BaseRepresentation
bin100101110100100…
…101000000000000
31122012222222021200
4211310211000000
52244420240112
6142544221200
721503333640
oct4564450000
91565888250
10634540032
112a61aa355
1215860a800
13a1600199
14603b8520
153aa91cdc
hex25d25000

634540032 has 156 divisors (see below), whose sum is σ = 2095585440. Its totient is φ = 181223424.

The previous prime is 634540019. The next prime is 634540037. The reversal of 634540032 is 230045436.

It is a super-2 number, since 2×6345400322 = 805282104421122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 634539978 and 634540005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634540037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256819 + ... + 259277.

It is an arithmetic number, because the mean of its divisors is an integer number (13433240).

Almost surely, 2634540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047792720).

634540032 is an abundant number, since it is smaller than the sum of its proper divisors (1461045408).

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

634540032 is a wasteful number, since it uses less digits than its factorization.

634540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 634540032 is about 25190.0780467231. The cubic root of 634540032 is about 859.3162186871.

Adding to 634540032 its reverse (230045436), we get a palindrome (864585468).

The spelling of 634540032 in words is "six hundred thirty-four million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2459 2688 3072 3584 4032 4096 4608 4918 5376 6144 7168 7377 8064 9216 9836 10752 12288 14336 14754 16128 17213 18432 19672 21504 22131 28672 29508 32256 34426 36864 39344 43008 44262 51639 59016 64512 68852 78688 86016 88524 103278 118032 129024 137704 154917 157376 177048 206556 236064 258048 275408 309834 314752 354096 413112 472128 550816 619668 629504 708192 826224 944256 1101632 1239336 1259008 1416384 1652448 1888512 2203264 2478672 2518016 2832768 3304896 3777024 4406528 4957344 5036032 5665536 6609792 7554048 8813056 9914688 10072064 11331072 13219584 15108096 17626112 19829376 22662144 26439168 30216192 35252224 39658752 45324288 52878336 70504448 79317504 90648576 105756672 158635008 211513344 317270016 634540032