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3412134330 = 23511711371063
BaseRepresentation
bin1100101101100001…
…0000100110111010
322210210112101100120
43023120100212322
523442001244310
61322325514110
7150361443333
oct31330204672
98723471316
103412134330
1114a1074030
127b2872936
13424bb3cc7
1424524928a
1514e852b70
hexcb6109ba

3412134330 has 128 divisors (see below), whose sum is σ = 9134125056. Its totient is φ = 808819200.

The previous prime is 3412134317. The next prime is 3412134343. The reversal of 3412134330 is 334312143.

It is an interprime number because it is at equal distance from previous prime (3412134317) and next prime (3412134343).

It is a self number, because there is not a number n which added to its sum of digits gives 3412134330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3209379 + ... + 3210441.

It is an arithmetic number, because the mean of its divisors is an integer number (71360352).

Almost surely, 23412134330 is an apocalyptic number.

3412134330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567062528).

3412134330 is an abundant number, since it is smaller than the sum of its proper divisors (5721990726).

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

3412134330 is a wasteful number, since it uses less digits than its factorization.

3412134330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3412134330 is about 58413.4772976237. The cubic root of 3412134330 is about 1505.4813278542.

Adding to 3412134330 its reverse (334312143), we get a palindrome (3746446473).

It can be divided in two parts, 341213 and 4330, that added together give a palindrome (345543).

The spelling of 3412134330 in words is "three billion, four hundred twelve million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 137 142 165 213 274 330 355 411 426 685 710 781 822 1063 1065 1370 1507 1562 2055 2126 2130 2343 3014 3189 3905 4110 4521 4686 5315 6378 7535 7810 9042 9727 10630 11693 11715 15070 15945 19454 22605 23386 23430 29181 31890 35079 45210 48635 58362 58465 70158 75473 97270 106997 116930 145631 145905 150946 175395 213994 226419 291262 291810 320991 350790 377365 436893 452838 534985 641982 728155 754730 830203 873786 1069970 1132095 1456310 1601941 1604955 1660406 2184465 2264190 2490609 3203882 3209910 4151015 4368930 4805823 4981218 8009705 8302030 9611646 10339801 12453045 16019410 20679602 24029115 24906090 31019403 48058230 51699005 62038806 103398010 113737811 155097015 227475622 310194030 341213433 568689055 682426866 1137378110 1706067165 3412134330