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634834620 = 2232572691873
BaseRepresentation
bin100101110101101…
…100111010111100
31122020112221101100
4211311230322330
52300004201440
6142554413100
721506001540
oct4565547274
91566487340
10634834620
112a6390712
12158731190
13a16a42b4
1460453a20
153aaee230
hex25d6cebc

634834620 has 144 divisors (see below), whose sum is σ = 2210120640. Its totient is φ = 144488448.

The previous prime is 634834619. The next prime is 634834637. The reversal of 634834620 is 26438436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338004 + ... + 339876.

It is an arithmetic number, because the mean of its divisors is an integer number (15348060).

Almost surely, 2634834620 is an apocalyptic number.

634834620 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 634834620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105060320).

634834620 is an abundant number, since it is smaller than the sum of its proper divisors (1575286020).

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

634834620 is a wasteful number, since it uses less digits than its factorization.

634834620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 634834620 is about 25195.9246704700. The cubic root of 634834620 is about 859.4491785578.

The spelling of 634834620 in words is "six hundred thirty-four million, eight hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 269 315 420 538 630 807 1076 1260 1345 1614 1873 1883 2421 2690 3228 3746 3766 4035 4842 5380 5619 5649 7492 7532 8070 9365 9415 9684 11238 11298 12105 13111 16140 16857 16947 18730 18830 22476 22596 24210 26222 28095 28245 33714 33894 37460 37660 39333 48420 52444 56190 56490 65555 67428 67788 78666 84285 84735 112380 112980 117999 131110 157332 168570 169470 196665 235998 262220 337140 338940 393330 471996 503837 589995 786660 1007674 1179990 1511511 2015348 2359980 2519185 3023022 3526859 4534533 5038370 6046044 7053718 7557555 9069066 10076740 10580577 14107436 15115110 17634295 18138132 21161154 22672665 30230220 31741731 35268590 42322308 45345330 52902885 63483462 70537180 90690660 105805770 126966924 158708655 211611540 317417310 634834620