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64436346 = 23213509541
BaseRepresentation
bin1111010111001…
…1100001111010
311111020201001100
43311303201322
5112443430341
610221032230
71411462032
oct365634172
9144221040
1064436346
1133410a87
12196b5676
1310471320
1487b48c2
1559cc3b6
hex3d7387a

64436346 has 48 divisors (see below), whose sum is σ = 150925320. Its totient is φ = 19751040.

The previous prime is 64436327. The next prime is 64436377. The reversal of 64436346 is 64363446.

64436346 is a `hidden beast` number, since 644 + 3 + 6 + 3 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51194025 + 13242321 = 7155^2 + 3639^2 .

It is a super-3 number, since 3×644363463 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64436346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118836 + ... + 119376.

Almost surely, 264436346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64436346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462660).

64436346 is an abundant number, since it is smaller than the sum of its proper divisors (86488974).

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

64436346 is a wasteful number, since it uses less digits than its factorization.

64436346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

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

The square root of 64436346 is about 8027.2252989436. The cubic root of 64436346 is about 400.9069960078.

Subtracting from 64436346 its reverse (64363446), we obtain a square (72900 = 2702).

The spelling of 64436346 in words is "sixty-four million, four hundred thirty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 509 541 1018 1082 1527 1623 3054 3246 4581 4869 6617 7033 9162 9738 13234 14066 19851 21099 39702 42198 59553 63297 119106 126594 275369 550738 826107 1652214 2478321 3579797 4956642 7159594 10739391 21478782 32218173 64436346