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342336820 = 225717831733
BaseRepresentation
bin10100011001111…
…010010100110100
3212212011111211111
4110121322110310
51200114234240
653545244404
711324546350
oct2431722464
9785144744
10342336820
111662707a1
1296793704
1355c02187
1433674460
15200c31ea
hex1467a534

342336820 has 96 divisors (see below), whose sum is σ = 880927488. Its totient is φ = 109074432.

The previous prime is 342336817. The next prime is 342336823. The reversal of 342336820 is 28633243.

It is an interprime number because it is at equal distance from previous prime (342336817) and next prime (342336823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342336823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196674 + ... + 198406.

It is an arithmetic number, because the mean of its divisors is an integer number (9176328).

Almost surely, 2342336820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342336820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440463744).

342336820 is an abundant number, since it is smaller than the sum of its proper divisors (538590668).

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

342336820 is a wasteful number, since it uses less digits than its factorization.

342336820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 342336820 is about 18502.3463376946. The cubic root of 342336820 is about 699.5485660732.

The spelling of 342336820 in words is "three hundred forty-two million, three hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 83 85 119 140 166 170 238 332 340 415 476 581 595 830 1162 1190 1411 1660 1733 2324 2380 2822 2905 3466 5644 5810 6932 7055 8665 9877 11620 12131 14110 17330 19754 24262 28220 29461 34660 39508 48524 49385 58922 60655 98770 117844 121310 143839 147305 197540 206227 242620 287678 294610 412454 575356 589220 719195 824908 1006873 1031135 1438390 2013746 2062270 2445263 2876780 4027492 4124540 4890526 5034365 9781052 10068730 12226315 17116841 20137460 24452630 34233682 48905260 68467364 85584205 171168410 342336820