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342679140 = 223351494259
BaseRepresentation
bin10100011011001…
…101111001100100
3212212210220102000
4110123031321210
51200211213030
654000445300
711330503356
oct2433157144
9785726360
10342679140
11166484a01
1296919830
1355cc1c2b
14337230d6
152013e860
hex146cde64

342679140 has 96 divisors (see below), whose sum is σ = 1073520000. Its totient is φ = 90746496.

The previous prime is 342679123. The next prime is 342679171. The reversal of 342679140 is 41976243.

It is a super-2 number, since 2×3426791402 = 234857985982279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342679095 and 342679104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78331 + ... + 82589.

It is an arithmetic number, because the mean of its divisors is an integer number (11182500).

Almost surely, 2342679140 is an apocalyptic number.

342679140 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 342679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536760000).

342679140 is an abundant number, since it is smaller than the sum of its proper divisors (730840860).

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

342679140 is a wasteful number, since it uses less digits than its factorization.

342679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 342679140 is about 18511.5947449160. The cubic root of 342679140 is about 699.7816597947.

The spelling of 342679140 in words is "three hundred forty-two million, six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 149 180 270 298 447 540 596 745 894 1341 1490 1788 2235 2682 2980 4023 4259 4470 5364 6705 8046 8518 8940 12777 13410 16092 17036 20115 21295 25554 26820 38331 40230 42590 51108 63885 76662 80460 85180 114993 127770 153324 191655 229986 255540 383310 459972 574965 634591 766620 1149930 1269182 1903773 2299860 2538364 3172955 3807546 5711319 6345910 7615092 9518865 11422638 12691820 17133957 19037730 22845276 28556595 34267914 38075460 57113190 68535828 85669785 114226380 171339570 342679140