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342567090 = 23353753647
BaseRepresentation
bin10100011010110…
…010100010110010
3212212121012201000
4110122302202302
51200144121330
653554222430
711326525605
oct2432624262
9785535630
10342567090
111664087a8
1296884a16
1355c82c28
14336d433c
152011b560
hex146b28b2

342567090 has 128 divisors (see below), whose sum is σ = 957381120. Its totient is φ = 87070464.

The previous prime is 342567089. The next prime is 342567101. The reversal of 342567090 is 90765243.

342567090 is a `hidden beast` number, since 3 + 4 + 2 + 567 + 0 + 90 = 666.

It is a super-2 number, since 2×3425670902 = 234704422302136200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 529147 + ... + 529793.

It is an arithmetic number, because the mean of its divisors is an integer number (7479540).

Almost surely, 2342567090 is an apocalyptic number.

342567090 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 342567090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478690560).

342567090 is an abundant number, since it is smaller than the sum of its proper divisors (614814030).

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

342567090 is a wasteful number, since it uses less digits than its factorization.

342567090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 342567090 is about 18508.5680159217. The cubic root of 342567090 is about 699.7053794169.

The spelling of 342567090 in words is "three hundred forty-two million, five hundred sixty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 53 54 74 90 106 111 135 159 185 222 265 270 318 333 370 477 530 555 647 666 795 954 999 1110 1294 1431 1590 1665 1941 1961 1998 2385 2862 3235 3330 3882 3922 4770 4995 5823 5883 6470 7155 9705 9805 9990 11646 11766 14310 17469 17649 19410 19610 23939 29115 29415 34291 34938 35298 47878 52947 58230 58830 68582 71817 87345 88245 102873 105894 119695 143634 171455 174690 176490 205746 215451 239390 264735 308619 342910 359085 430902 514365 529470 617238 646353 718170 925857 1028730 1077255 1268767 1292706 1543095 1851714 2154510 2537534 3086190 3231765 3806301 4629285 6343835 6463530 7612602 9258570 11418903 12687670 19031505 22837806 34256709 38063010 57094515 68513418 114189030 171283545 342567090