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3402332340 = 2235116184509
BaseRepresentation
bin1100101011001011…
…0111100010110100
322210010002101112220
43022302313202310
523431444113330
61321335442340
7150212230161
oct31262674264
98703071486
103402332340
111496589710
127ab5263b0
13422b61604
14243c17068
1514da68710
hexcacb78b4

3402332340 has 96 divisors (see below), whose sum is σ = 10563073920. Its totient is φ = 811276800.

The previous prime is 3402332321. The next prime is 3402332347. The reversal of 3402332340 is 432332043.

It is a self number, because there is not a number n which added to its sum of digits gives 3402332340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402332347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995 + ... + 82514.

It is an arithmetic number, because the mean of its divisors is an integer number (110032020).

Almost surely, 23402332340 is an apocalyptic number.

3402332340 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 3402332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281536960).

3402332340 is an abundant number, since it is smaller than the sum of its proper divisors (7160741580).

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

3402332340 is a wasteful number, since it uses less digits than its factorization.

3402332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84593 (or 84591 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3402332340 is about 58329.5151702806. The cubic root of 3402332340 is about 1504.0383535989.

Adding to 3402332340 its reverse (432332043), we get a palindrome (3834664383).

The spelling of 3402332340 in words is "three billion, four hundred two million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 40260 84509 169018 253527 338036 422545 507054 845090 929599 1014108 1267635 1690180 1859198 2535270 2788797 3718396 4647995 5070540 5155049 5577594 9295990 10310098 11155188 13943985 15465147 18591980 20620196 25775245 27887970 30930294 51550490 55775940 56705539 61860588 77325735 103100980 113411078 154651470 170116617 226822156 283527695 309302940 340233234 567055390 680466468 850583085 1134110780 1701166170 3402332340