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342605840 = 24541671559
BaseRepresentation
bin10100011010111…
…100000000010000
3212212200011212012
4110122330000100
51200201341330
653555122052
711330046563
oct2432740020
9785604765
10342605840
11166434925
12968a3328
1355c97765
14337044da
1520127c95
hex146bc010

342605840 has 80 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 131619840.

The previous prime is 342605807. The next prime is 342605849. The reversal of 342605840 is 48506243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 342605797 and 342605806.

It is not an unprimeable number, because it can be changed into a prime (342605849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218981 + ... + 220539.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2342605840 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 342605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

342605840 is an abundant number, since it is smaller than the sum of its proper divisors (486091120).

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

342605840 is a wasteful number, since it uses less digits than its factorization.

342605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 342605840 is about 18509.6147988012. The cubic root of 342605840 is about 699.7317611700.

The spelling of 342605840 in words is "three hundred forty-two million, six hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 67 80 82 134 164 205 268 328 335 410 536 656 670 820 1072 1340 1559 1640 2680 2747 3118 3280 5360 5494 6236 7795 10988 12472 13735 15590 21976 24944 27470 31180 43952 54940 62360 63919 104453 109880 124720 127838 208906 219760 255676 319595 417812 511352 522265 639190 835624 1022704 1044530 1278380 1671248 2089060 2556760 4178120 4282573 5113520 8356240 8565146 17130292 21412865 34260584 42825730 68521168 85651460 171302920 342605840