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3340260233640 = 23325111297650347
BaseRepresentation
bin110000100110110111000…
…001100101000110101000
3102211022210110221002010200
4300212313001211012220
5414211323104434030
611034254441112200
7463216522344051
oct60466701450650
912738713832120
103340260233640
111078661904440
1245b446488660
131b2ca65c7765
14b7952dc7728
155bd4b690d60
hex309b70651a8

3340260233640 has 192 divisors, whose sum is σ = 11851889924160. Its totient is φ = 809134479360.

The previous prime is 3340260233617. The next prime is 3340260233641. The reversal of 3340260233640 is 463320620433.

3340260233640 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 2 + 6 + 0 + 2 + 3 + 3 + 640 = 666.

It is a super-2 number, since 2×33402602336402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3340260233595 and 3340260233604.

It is not an unprimeable number, because it can be changed into a prime (3340260233641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810947 + ... + 5461293.

It is an arithmetic number, because the mean of its divisors is an integer number (61728593355).

Almost surely, 23340260233640 is an apocalyptic number.

3340260233640 is a gapful number since it is divisible by the number (30) 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 3340260233640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925944962080).

3340260233640 is an abundant number, since it is smaller than the sum of its proper divisors (8511629690520).

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

3340260233640 is a wasteful number, since it uses less digits than its factorization.

3340260233640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651672 (or 651665 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 3340260233640 in words is "three trillion, three hundred forty billion, two hundred sixty million, two hundred thirty-three thousand, six hundred forty".