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64346436 = 2232711139167
BaseRepresentation
bin1111010101110…
…1100101000100
311111002010201100
43311131211010
5112433041221
610215100100
71410635640
oct365354504
9144063640
1064346436
113335a480
1219671630
131043c41b
14878dc20
1559b0926
hex3d5d944

64346436 has 144 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 16493760.

The previous prime is 64346423. The next prime is 64346437. The reversal of 64346436 is 63464346.

64346436 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 643 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64346436.

It is not an unprimeable number, because it can be changed into a prime (64346437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385225 + ... + 385391.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 264346436 is an apocalyptic number.

64346436 is a gapful number since it is divisible by the number (66) 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 64346436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

64346436 is an abundant number, since it is smaller than the sum of its proper divisors (141124284).

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

64346436 is a wasteful number, since it uses less digits than its factorization.

64346436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 64346436 is about 8021.6230277918. The cubic root of 64346436 is about 400.7204432913.

The spelling of 64346436 in words is "sixty-four million, three hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 167 198 231 252 278 308 334 396 417 462 501 556 668 693 834 924 973 1002 1169 1251 1386 1503 1529 1668 1837 1946 2004 2338 2502 2772 2919 3006 3058 3507 3674 3892 4587 4676 5004 5511 5838 6012 6116 7014 7348 8757 9174 10521 10703 11022 11676 12859 13761 14028 16533 17514 18348 21042 21406 22044 23213 25718 27522 32109 33066 35028 38577 42084 42812 46426 51436 55044 64218 66132 69639 77154 92852 96327 115731 128436 139278 154308 162491 192654 208917 231462 255343 278556 324982 385308 417834 462924 487473 510686 649964 766029 835668 974946 1021372 1462419 1532058 1787401 1949892 2298087 2924838 3064116 3574802 4596174 5362203 5849676 7149604 9192348 10724406 16086609 21448812 32173218 64346436