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3340014320 = 245671394483
BaseRepresentation
bin1100011100010100…
…1001001011110000
322121202211022022002
43013011021023300
523320020424240
61311232033132
7145524440036
oct30705111360
98552738262
103340014320
111464395215
127926927a8
13412c82546
14239834556
15148358d15
hexc71492f0

3340014320 has 80 divisors (see below), whose sum is σ = 7939908480. Its totient is φ = 1306305792.

The previous prime is 3340014319. The next prime is 3340014323. The reversal of 3340014320 is 234100433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33400143202 = 22311391315610124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3340014292 and 3340014301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340014323) 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, 742799 + ... + 747281.

It is an arithmetic number, because the mean of its divisors is an integer number (99248856).

Almost surely, 23340014320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969954240).

3340014320 is an abundant number, since it is smaller than the sum of its proper divisors (4599894160).

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

3340014320 is a wasteful number, since it uses less digits than its factorization.

3340014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3340014320 is about 57792.8569980755. The cubic root of 3340014320 is about 1494.7989230055.

Adding to 3340014320 its reverse (234100433), we get a palindrome (3574114753).

The spelling of 3340014320 in words is "three billion, three hundred forty million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 139 268 278 335 536 556 670 695 1072 1112 1340 1390 2224 2680 2780 4483 5360 5560 8966 9313 11120 17932 18626 22415 35864 37252 44830 46565 71728 74504 89660 93130 149008 179320 186260 300361 358640 372520 600722 623137 745040 1201444 1246274 1501805 2402888 2492548 3003610 3115685 4805776 4985096 6007220 6231370 9970192 12014440 12462740 24028880 24925480 41750179 49850960 83500358 167000716 208750895 334001432 417501790 668002864 835003580 1670007160 3340014320