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64316340 = 223251122953
BaseRepresentation
bin1111010101011…
…0001110110100
311111000121102200
43311112032310
5112431110330
610214304500
71410452124
oct365261664
9144017380
1064316340
1133339900
1219658130
131042b80a
148782c84
1559a6a60
hex3d563b4

64316340 has 108 divisors (see below), whose sum is σ = 214513572. Its totient is φ = 15586560.

The previous prime is 64316333. The next prime is 64316341. The reversal of 64316340 is 4361346.

64316340 is a `hidden beast` number, since 6 + 4 + 316 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 25826724 = 6204^2 + 5082^2 .

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64316341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20304 + ... + 23256.

Almost surely, 264316340 is an apocalyptic number.

64316340 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 64316340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107256786).

64316340 is an abundant number, since it is smaller than the sum of its proper divisors (150197232).

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

64316340 is a wasteful number, since it uses less digits than its factorization.

64316340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64316340 is about 8019.7468787986. The cubic root of 64316340 is about 400.6579587988.

Adding to 64316340 its reverse (4361346), we get a palindrome (68677686).

The spelling of 64316340 in words is "sixty-four million, three hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 2953 3630 4356 5445 5906 7260 8859 10890 11812 14765 17718 21780 26577 29530 32483 35436 44295 53154 59060 64966 88590 97449 106308 129932 132885 162415 177180 194898 265770 292347 324830 357313 389796 487245 531540 584694 649660 714626 974490 1071939 1169388 1429252 1461735 1786565 1948980 2143878 2923470 3215817 3573130 4287756 5359695 5846940 6431634 7146260 10719390 12863268 16079085 21438780 32158170 64316340