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64235340 = 223251397283
BaseRepresentation
bin1111010100001…
…0011101001100
311110212111022200
43311002131030
5112421012330
610212441500
71406664021
oct365023514
9143774280
1064235340
1133293a64
1219619290
13104009a0
148761548
15598ca60
hex3d4274c

64235340 has 144 divisors (see below), whose sum is σ = 212747808. Its totient is φ = 15593472.

The previous prime is 64235329. The next prime is 64235341. The reversal of 64235340 is 4353246.

64235340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64235341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 226839 + ... + 227121.

Almost surely, 264235340 is an apocalyptic number.

64235340 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 64235340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106373904).

64235340 is an abundant number, since it is smaller than the sum of its proper divisors (148512468).

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

64235340 is a wasteful number, since it uses less digits than its factorization.

64235340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

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

The square root of 64235340 is about 8014.6952530960. The cubic root of 64235340 is about 400.4896919266.

Adding to 64235340 its reverse (4353246), we get a palindrome (68588586).

The spelling of 64235340 in words is "sixty-four million, two hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 283 291 388 390 468 485 566 582 585 780 849 873 970 1132 1164 1170 1261 1415 1455 1698 1746 1940 2340 2522 2547 2830 2910 3396 3492 3679 3783 4245 4365 5044 5094 5660 5820 6305 7358 7566 8490 8730 10188 11037 11349 12610 12735 14716 15132 16980 17460 18395 18915 22074 22698 25220 25470 27451 33111 36790 37830 44148 45396 50940 54902 55185 56745 66222 73580 75660 82353 109804 110370 113490 132444 137255 164706 165555 220740 226980 247059 274510 329412 331110 356863 411765 494118 549020 662220 713726 823530 988236 1070589 1235295 1427452 1647060 1784315 2141178 2470590 3211767 3568630 4282356 4941180 5352945 6423534 7137260 10705890 12847068 16058835 21411780 32117670 64235340