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342848688 = 243721311213
BaseRepresentation
bin10100011011110…
…111010010110000
3212220010111222120
4110123313102300
51200232124223
654004234240
711332110600
oct2433672260
9786114876
10342848688
11166590326
129699b980
1356051160
1433768c00
1520174be3
hex146f74b0

342848688 has 120 divisors (see below), whose sum is σ = 1109647728. Its totient is φ = 90413568.

The previous prime is 342848687. The next prime is 342848713. The reversal of 342848688 is 886848243.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342848688.

It is not an unprimeable number, because it can be changed into a prime (342848687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24970 + ... + 36182.

Almost surely, 2342848688 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 342848688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554823864).

342848688 is an abundant number, since it is smaller than the sum of its proper divisors (766799040).

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

342848688 is a wasteful number, since it uses less digits than its factorization.

342848688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251 (or 11238 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 342848688 is about 18516.1736868069. The cubic root of 342848688 is about 699.8970515269.

The spelling of 342848688 in words is "three hundred forty-two million, eight hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 11213 15288 22426 30576 33639 44852 67278 78491 89704 134556 145769 156982 179408 235473 269112 291538 313964 437307 470946 538224 549437 583076 627928 874614 941892 1020383 1098874 1166152 1255856 1648311 1749228 1883784 2040766 2197748 2332304 3061149 3296622 3498456 3767568 4081532 4395496 6122298 6593244 6996912 7142681 8163064 8790992 12244596 13186488 14285362 16326128 21428043 24489192 26372976 28570724 42856086 48978384 57141448 85712172 114282896 171424344 342848688