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64240440 = 233511411187
BaseRepresentation
bin1111010100001…
…1101100111000
311110212202022120
43311003230320
5112421143230
610212521240
71410014625
oct365035470
9143782276
1064240440
1133297880
1219620220
13104030c4
14876334c
15598e310
hex3d43b38

64240440 has 128 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 15180800.

The previous prime is 64240417. The next prime is 64240441. The reversal of 64240440 is 4404246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64240440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64240441) 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, 53527 + ... + 54713.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 264240440 is an apocalyptic number.

64240440 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 64240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

64240440 is an abundant number, since it is smaller than the sum of its proper divisors (151310280).

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

64240440 is a wasteful number, since it uses less digits than its factorization.

64240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64240440 is about 8015.0134123406. The cubic root of 64240440 is about 400.5002906789.

Adding to 64240440 its reverse (4404246), we get a palindrome (68644686).

The spelling of 64240440 in words is "sixty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1187 1230 1320 1353 1640 1804 2255 2374 2460 2706 3561 3608 4510 4748 4920 5412 5935 6765 7122 9020 9496 10824 11870 13057 13530 14244 17805 18040 23740 26114 27060 28488 35610 39171 47480 48667 52228 54120 65285 71220 78342 97334 104456 130570 142440 146001 156684 194668 195855 243335 261140 292002 313368 389336 391710 486670 522280 535337 584004 730005 783420 973340 1070674 1168008 1460010 1566840 1606011 1946680 2141348 2676685 2920020 3212022 4282696 5353370 5840040 6424044 8030055 10706740 12848088 16060110 21413480 32120220 64240440