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342948648 = 233721931511
BaseRepresentation
bin10100011100001…
…111101100101000
3212220022121002210
4110130033230220
51200243324043
654010325120
711333005200
oct2434175450
9786277083
10342948648
11166649439
1296a297a0
13560877c3
1433793400
1520194633
hex1470fb28

342948648 has 96 divisors (see below), whose sum is σ = 1003181760. Its totient is φ = 97413120.

The previous prime is 342948647. The next prime is 342948659. The reversal of 342948648 is 846849243.

It is a super-2 number, since 2×3429486482 = 235227550330055808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342948597 and 342948606.

It is not an unprimeable number, because it can be changed into a prime (342948647) 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, 226213 + ... + 227723.

It is an arithmetic number, because the mean of its divisors is an integer number (10449810).

Almost surely, 2342948648 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 342948648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501590880).

342948648 is an abundant number, since it is smaller than the sum of its proper divisors (660233112).

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

342948648 is a wasteful number, since it uses less digits than its factorization.

342948648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 342948648 is about 18518.8727518713. The cubic root of 342948648 is about 699.9650649232.

The spelling of 342948648 in words is "three hundred forty-two million, nine hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 193 196 294 386 392 579 588 772 1158 1176 1351 1511 1544 2316 2702 3022 4053 4533 4632 5404 6044 8106 9066 9457 10577 10808 12088 16212 18132 18914 21154 28371 31731 32424 36264 37828 42308 56742 63462 74039 75656 84616 113484 126924 148078 222117 226968 253848 291623 296156 444234 583246 592312 874869 888468 1166492 1749738 1776936 2041361 2332984 3499476 4082722 6124083 6998952 8165444 12248166 14289527 16330888 24496332 28579054 42868581 48992664 57158108 85737162 114316216 171474324 342948648