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64338240 = 2635292311
BaseRepresentation
bin1111010101101…
…1100101000000
311111001201110210
43311123211000
5112432310430
610214554120
71410603021
oct365334500
9144051423
1064338240
11333542aa
1219668940
1310438785
14878ac48
1559ad2b0
hex3d5b940

64338240 has 112 divisors (see below), whose sum is σ = 211409280. Its totient is φ = 16558080.

The previous prime is 64338221. The next prime is 64338247. The reversal of 64338240 is 4283346.

64338240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64338198 and 64338207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64338247) 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 15 ways as a sum of consecutive naturals, for example, 26685 + ... + 28995.

Almost surely, 264338240 is an apocalyptic number.

64338240 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 64338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105704640).

64338240 is an abundant number, since it is smaller than the sum of its proper divisors (147071040).

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

64338240 is a wasteful number, since it uses less digits than its factorization.

64338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 64338240 is about 8021.1121423404. The cubic root of 64338240 is about 400.7034289109.

It can be divided in two parts, 643 and 38240, that added together give a palindrome (38883).

The spelling of 64338240 in words is "sixty-four million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2311 2320 2784 3480 4622 4640 5568 6933 6960 9244 9280 11555 13866 13920 18488 23110 27732 27840 34665 36976 46220 55464 67019 69330 73952 92440 110928 134038 138660 147904 184880 201057 221856 268076 277320 335095 369760 402114 443712 536152 554640 670190 739520 804228 1005285 1072304 1109280 1340380 1608456 2010570 2144608 2218560 2680760 3216912 4021140 4289216 5361520 6433824 8042280 10723040 12867648 16084560 21446080 32169120 64338240