Search a number
-
+
342103424 = 2713832477
BaseRepresentation
bin10100011001000…
…001010110000000
3212211201122200012
4110121001112000
51200034302144
653540244052
711322555035
oct2431012600
9784648605
10342103424
11166121403
12966a0628
1355b4cb80
143361338c
1520078e9e
hex14641580

342103424 has 64 divisors (see below), whose sum is σ = 743102640. Its totient is φ = 155928576.

The previous prime is 342103423. The next prime is 342103429. The reversal of 342103424 is 424301243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 342103424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342103423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136874 + ... + 139350.

Almost surely, 2342103424 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 342103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371551320).

342103424 is an abundant number, since it is smaller than the sum of its proper divisors (400999216).

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

342103424 is a wasteful number, since it uses less digits than its factorization.

342103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 342103424 is about 18496.0380622446. The cubic root of 342103424 is about 699.3895521562.

Adding to 342103424 its reverse (424301243), we get a palindrome (766404667).

The spelling of 342103424 in words is "three hundred forty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 208 332 416 664 832 1079 1328 1664 2158 2477 2656 4316 4954 5312 8632 9908 10624 17264 19816 32201 34528 39632 64402 69056 79264 128804 138112 158528 205591 257608 317056 411182 515216 822364 1030432 1644728 2060864 2672683 3289456 4121728 5345366 6578912 10690732 13157824 21381464 26315648 42762928 85525856 171051712 342103424