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64454346 = 23311195711
BaseRepresentation
bin1111010111011…
…1111011001010
311111021121202000
43311313323022
5113000014341
610221251430
71411565355
oct365677312
9144247660
1064454346
1133423560
1219703b76
1310479588
1487bb29c
1559d28b6
hex3d77eca

64454346 has 64 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 18500400.

The previous prime is 64454329. The next prime is 64454347. The reversal of 64454346 is 64345446.

64454346 is a `hidden beast` number, since 644 + 5 + 4 + 3 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64454346.

It is not an unprimeable number, because it can be changed into a prime (64454347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8431 + ... + 14141.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 264454346 is an apocalyptic number.

64454346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64454346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

64454346 is an abundant number, since it is smaller than the sum of its proper divisors (100051254).

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

64454346 is a wasteful number, since it uses less digits than its factorization.

64454346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5746 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 64454346 is about 8028.3464050824. The cubic root of 64454346 is about 400.9443230473.

Subtracting from 64454346 its reverse (64345446), we obtain a square (108900 = 3302).

The spelling of 64454346 in words is "sixty-four million, four hundred fifty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 5711 11286 11422 17133 34266 51399 62821 102798 108509 125642 154197 188463 217018 308394 325527 376926 565389 651054 976581 1130778 1193599 1696167 1953162 2387198 2929743 3392334 3580797 5859486 7161594 10742391 21484782 32227173 64454346