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3430403240 = 2351121395099
BaseRepresentation
bin1100110001110111…
…1100110010101000
322212001220112120212
43030131330302220
524011140400430
61324221240252
7151002642425
oct31435746250
98761815525
103430403240
111500411800
127b8a03088
1342890c504
14247842d4c
15151260b95
hexcc77cca8

3430403240 has 96 divisors (see below), whose sum is σ = 8546580000. Its totient is φ = 1238202240.

The previous prime is 3430403233. The next prime is 3430403257. The reversal of 3430403240 is 423040343.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 670211 + ... + 675309.

It is an arithmetic number, because the mean of its divisors is an integer number (89026875).

Almost surely, 23430403240 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 3430403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290000).

3430403240 is an abundant number, since it is smaller than the sum of its proper divisors (5116176760).

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

3430403240 is a wasteful number, since it uses less digits than its factorization.

3430403240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3430403240 is about 58569.6443560997. The cubic root of 3430403240 is about 1508.1633796347.

Adding to 3430403240 its reverse (423040343), we get a palindrome (3853443583).

The spelling of 3430403240 in words is "three billion, four hundred thirty million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5099 5560 6116 7645 10198 12232 15290 16819 20396 25495 30580 33638 40792 50990 56089 61160 67276 84095 101980 112178 134552 168190 203960 224356 280445 336380 448712 560890 616979 672760 708761 1121780 1233958 1417522 2243560 2467916 2835044 3084895 3543805 4935832 5670088 6169790 7087610 7796371 12339580 14175220 15592742 24679160 28350440 31185484 38981855 62370968 77963710 85760081 155927420 171520162 311854840 343040324 428800405 686080648 857600810 1715201620 3430403240