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34364442630 = 23575325112301
BaseRepresentation
bin100000000000010001…
…111100100000000110
310021200220202120010110
4200000101330200012
51030334244131010
623441541133450
72324403641250
oct400021744006
9107626676113
1034364442630
1113634917411
1267b06ba286
13331865872b
14193dd48cd0
15d61d8c120
hex80047c806

34364442630 has 128 divisors (see below), whose sum is σ = 96425634816. Its totient is φ = 7675200000.

The previous prime is 34364442601. The next prime is 34364442631. The reversal of 34364442630 is 3624446343.

It is a happy number.

It is a super-2 number, since 2×343644426302 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364442631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787480 + ... + 2799780.

It is an arithmetic number, because the mean of its divisors is an integer number (753325272).

Almost surely, 234364442630 is an apocalyptic number.

34364442630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364442630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48212817408).

34364442630 is an abundant number, since it is smaller than the sum of its proper divisors (62061192186).

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

34364442630 is a wasteful number, since it uses less digits than its factorization.

34364442630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 34364442630 its reverse (3624446343), we get a palindrome (37988888973).

The spelling of 34364442630 in words is "thirty-four billion, three hundred sixty-four million, four hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 251 265 318 371 502 530 742 753 795 1113 1255 1506 1590 1757 1855 2226 2510 3514 3710 3765 5271 5565 7530 8785 10542 11130 12301 13303 17570 24602 26355 26606 36903 39909 52710 61505 66515 73806 79818 86107 93121 123010 133030 172214 184515 186242 199545 258321 279363 369030 399090 430535 465605 516642 558726 651953 861070 931210 1291605 1303906 1396815 1955859 2583210 2793630 3087551 3259765 3911718 4563671 6175102 6519530 9127342 9262653 9779295 13691013 15437755 18525306 19558590 21612857 22818355 27382026 30875510 43225714 45636710 46313265 64838571 68455065 92626530 108064285 129677142 136910130 163640203 216128570 324192855 327280406 490920609 648385710 818201015 981841218 1145481421 1636402030 2290962842 2454603045 3436444263 4909206090 5727407105 6872888526 11454814210 17182221315 34364442630