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64340280 = 23325313571
BaseRepresentation
bin1111010101110…
…0000100111000
311111001211021100
43311130010320
5112432342110
610215011400
71410611664
oct365340470
9144054240
1064340280
1133355894
1219669b60
1310439694
14878b8a4
1559adbc0
hex3d5c138

64340280 has 96 divisors (see below), whose sum is σ = 210141360. Its totient is φ = 17072640.

The previous prime is 64340261. The next prime is 64340281. The reversal of 64340280 is 8204346.

64340280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64340281) 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 23 ways as a sum of consecutive naturals, for example, 112395 + ... + 112965.

Almost surely, 264340280 is an apocalyptic number.

64340280 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 64340280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105070680).

64340280 is an abundant number, since it is smaller than the sum of its proper divisors (145801080).

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

64340280 is a wasteful number, since it uses less digits than its factorization.

64340280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64340280 is about 8021.2393057432. The cubic root of 64340280 is about 400.7076639577.

It can be divided in two parts, 64340 and 280, that added together give a triangular number (64620 = T359).

The spelling of 64340280 in words is "sixty-four million, three hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 571 626 939 1142 1252 1565 1713 1878 2284 2504 2817 2855 3130 3426 3756 4568 4695 5139 5634 5710 6260 6852 7512 8565 9390 10278 11268 11420 12520 13704 14085 17130 18780 20556 22536 22840 25695 28170 34260 37560 41112 51390 56340 68520 102780 112680 178723 205560 357446 536169 714892 893615 1072338 1429784 1608507 1787230 2144676 2680845 3217014 3574460 4289352 5361690 6434028 7148920 8042535 10723380 12868056 16085070 21446760 32170140 64340280