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634151140 = 225723717489
BaseRepresentation
bin100101110011000…
…110000011100100
31122012021012211021
4211303012003210
52244320314030
6142532020524
721500124100
oct4563060344
91565235737
10634151140
112a5a64157
12158461744
13a14c517c
1460316900
153aa1697a
hex25cc60e4

634151140 has 72 divisors (see below), whose sum is σ = 1591100280. Its totient is φ = 211534848.

The previous prime is 634151131. The next prime is 634151171. The reversal of 634151140 is 41151436.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 615436864 = 4326^2 + 24808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27516 + ... + 45004.

It is an arithmetic number, because the mean of its divisors is an integer number (22098615).

Almost surely, 2634151140 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 634151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795550140).

634151140 is an abundant number, since it is smaller than the sum of its proper divisors (956949140).

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

634151140 is a wasteful number, since it uses less digits than its factorization.

634151140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 634151140 is about 25182.3577132881. The cubic root of 634151140 is about 859.1406324464.

The spelling of 634151140 in words is "six hundred thirty-four million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 17489 18130 34978 36260 69956 87445 122423 174890 244846 349780 489692 612115 647093 856961 1224230 1294186 1713922 2448460 2588372 3235465 3427844 4284805 4529651 6470930 8569610 9059302 12941860 17139220 18118604 22648255 31707557 45296510 63415114 90593020 126830228 158537785 317075570 634151140