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3634021040 = 245136752153
BaseRepresentation
bin1101100010011010…
…1100001010110000
3100101021001101200212
43120212230022300
524420302133130
61400333403252
7156024445346
oct33046541260
910337041625
103634021040
1115a5345881
12855039528
1345bb62410
142668c7996
15164081e95
hexd89ac2b0

3634021040 has 80 divisors (see below), whose sum is σ = 9235013088. Its totient is φ = 1321740288.

The previous prime is 3634021009. The next prime is 3634021057. The reversal of 3634021040 is 401204363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36340210402 = 26412217838325363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3634020997 and 3634021015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43604 + ... + 95756.

Almost surely, 23634021040 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 3634021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617506544).

3634021040 is an abundant number, since it is smaller than the sum of its proper divisors (5600992048).

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

3634021040 is a wasteful number, since it uses less digits than its factorization.

3634021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52246 (or 52240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3634021040 is about 60282.8420033429. The cubic root of 3634021040 is about 1537.4316328029.

The spelling of 3634021040 in words is "three billion, six hundred thirty-four million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 871 1040 1072 1340 1742 2680 3484 4355 5360 6968 8710 13936 17420 34840 52153 69680 104306 208612 260765 417224 521530 677989 834448 1043060 1355978 2086120 2711956 3389945 3494251 4172240 5423912 6779890 6988502 10847824 13559780 13977004 17471255 27119560 27954008 34942510 45425263 54239120 55908016 69885020 90850526 139770040 181701052 227126315 279540080 363402104 454252630 726804208 908505260 1817010520 3634021040