Search a number
-
+
3412342998 = 2334159151173
BaseRepresentation
bin1100101101100100…
…0011100011010110
322210210220222121000
43023121003203112
523442024433443
61322334204130
7150363302601
oct31331034326
98723828530
103412342998
1114a11a6889
127b2953646
13424c57c8c
142452a1338
1514e8948d3
hexcb6438d6

3412342998 has 128 divisors (see below), whose sum is σ = 7997875200. Its totient is φ = 1077408000.

The previous prime is 3412342993. The next prime is 3412343009. The reversal of 3412342998 is 8992432143.

3412342998 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412342993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19724440 + ... + 19724612.

It is an arithmetic number, because the mean of its divisors is an integer number (62483400).

Almost surely, 23412342998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412342998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998937600).

3412342998 is an abundant number, since it is smaller than the sum of its proper divisors (4585532202).

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

3412342998 is a wasteful number, since it uses less digits than its factorization.

3412342998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3412342998 is about 58415.2633992178. The cubic root of 3412342998 is about 1505.5120163074.

The spelling of 3412342998 in words is "three billion, four hundred twelve million, three hundred forty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 151 173 177 246 302 346 354 369 453 519 531 738 906 1038 1062 1107 1359 1557 1593 2214 2419 2718 3114 3186 4077 4671 4838 6191 7093 7257 8154 8909 9342 10207 12382 14186 14514 17818 18573 20414 21279 21771 26123 26727 30621 37146 42558 43542 52246 53454 55719 61242 63837 65313 78369 80181 91863 111438 127674 130626 156738 160362 167157 183726 191511 235107 240543 275589 334314 365269 383022 418487 470214 481086 551178 705321 730538 836974 1071043 1095807 1255461 1410642 1541257 2142086 2191614 2510922 3082514 3213129 3287421 3766383 4623771 6426258 6574842 7532766 9247542 9639387 9862263 11299149 13871313 19278774 19724526 22598298 27742626 28918161 41613939 57836322 63191537 83227878 126383074 189574611 379149222 568723833 1137447666 1706171499 3412342998