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1440342064 = 24732311411
BaseRepresentation
bin101010111011001…
…1110000000110000
310201101020221212101
41111312132000300
510422211421224
6354531310144
750456464000
oct12566360060
93641227771
101440342064
1167a043347
1234244b354
1319c534c15
14d9414000
15866b3044
hex55d9e030

1440342064 has 80 divisors (see below), whose sum is σ = 3396211200. Its totient is φ = 590399040.

The previous prime is 1440342053. The next prime is 1440342067. The reversal of 1440342064 is 4602430441.

It is a super-2 number, since 2×14403420642 = 4149170522655560192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1440342067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120519 + ... + 131929.

It is an arithmetic number, because the mean of its divisors is an integer number (42452640).

Almost surely, 21440342064 is an apocalyptic number.

1440342064 is a gapful number since it is divisible by the number (14) 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 1440342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698105600).

1440342064 is an abundant number, since it is smaller than the sum of its proper divisors (1955869136).

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

1440342064 is a wasteful number, since it uses less digits than its factorization.

1440342064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11463 (or 11443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 1440342064 is about 37951.8387433336. The cubic root of 1440342064 is about 1129.3326427304.

The spelling of 1440342064 in words is "one billion, four hundred forty million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 644 686 784 1127 1288 1372 2254 2576 2744 4508 5488 7889 9016 11411 15778 18032 22822 31556 45644 63112 79877 91288 126224 159754 182576 262453 319508 524906 559139 639016 1049812 1118278 1278032 1837171 2099624 2236556 3674342 3913973 4199248 4473112 7348684 7827946 8946224 12860197 14697368 15655892 25720394 29394736 31311784 51440788 62623568 90021379 102881576 180042758 205763152 360085516 720171032 1440342064