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342689130 = 23457193181
BaseRepresentation
bin10100011011010…
…000010101101010
3212212211102010000
4110123100111222
51200212023010
654001003430
711330544450
oct2433202552
9785742100
10342689130
11166491463
1296923576
1355cc6644
14337269d0
15201427c0
hex146d056a

342689130 has 160 divisors (see below), whose sum is σ = 1108863360. Its totient is φ = 74183040.

The previous prime is 342689101. The next prime is 342689131. The reversal of 342689130 is 31986243.

342689130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (342689131) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 106140 + ... + 109320.

It is an arithmetic number, because the mean of its divisors is an integer number (6930396).

Almost surely, 2342689130 is an apocalyptic number.

342689130 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 342689130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554431680).

342689130 is an abundant number, since it is smaller than the sum of its proper divisors (766174230).

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

342689130 is a wasteful number, since it uses less digits than its factorization.

342689130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 342689130 is about 18511.8645738348. The cubic root of 342689130 is about 699.7884598885.

The spelling of 342689130 in words is "three hundred forty-two million, six hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1330 1539 1710 1890 1995 2394 2565 2835 3078 3181 3591 3990 5130 5670 5985 6362 7182 7695 9543 10773 11970 15390 15905 17955 19086 21546 22267 28629 31810 35910 44534 47715 53865 57258 60439 66801 85887 95430 107730 111335 120878 133602 143145 171774 181317 200403 222670 257661 286290 302195 334005 362634 400806 423073 429435 515322 543951 601209 604390 668010 846146 858870 906585 1002015 1087902 1202418 1269219 1288305 1631853 1803627 1813170 2004030 2115365 2538438 2576610 2719755 3006045 3263706 3607254 3807657 4230730 4895559 5439510 6012090 6346095 7615314 8159265 9018135 9791118 11422971 12692190 16318530 18036270 19038285 22845942 24477795 34268913 38076570 48955590 57114855 68537826 114229710 171344565 342689130