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342262260 = 22345415153
BaseRepresentation
bin10100011001101…
…000000111110100
3212212000201120000
4110121220013310
51200104343020
653543511300
711324116104
oct2431500764
9785021500
10342262260
1116621a77a
1296758530
1355ba7262
1433655204
15200ab090
hex146681f4

342262260 has 120 divisors (see below), whose sum is σ = 1100090376. Its totient is φ = 89026560.

The previous prime is 342262253. The next prime is 342262273. The reversal of 342262260 is 62262243.

342262260 is a `hidden beast` number, since 34 + 2 + 2 + 622 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 338412816 = 1962^2 + 18396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63844 + ... + 68996.

Almost surely, 2342262260 is an apocalyptic number.

342262260 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 342262260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550045188).

342262260 is an abundant number, since it is smaller than the sum of its proper divisors (757828116).

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

342262260 is a wasteful number, since it uses less digits than its factorization.

342262260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 342262260 is about 18500.3313483840. The cubic root of 342262260 is about 699.4977758133.

The spelling of 342262260 in words is "three hundred forty-two million, two hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5153 5535 6642 7380 10306 11070 13284 15459 16605 20612 22140 25765 30918 33210 46377 51530 61836 66420 77295 92754 103060 139131 154590 185508 211273 231885 278262 309180 417393 422546 463770 556524 633819 695655 834786 845092 927540 1056365 1267638 1391310 1669572 1901457 2086965 2112730 2535276 2782620 3169095 3802914 4173930 4225460 5704371 6338190 7605828 8347860 9507285 11408742 12676380 17113113 19014570 22817484 28521855 34226226 38029140 57043710 68452452 85565565 114087420 171131130 342262260