Search a number
-
+
342863616 = 2831726261
BaseRepresentation
bin10100011011111…
…010111100000000
3212220011021110110
4110123322330000
51200233113431
654004431320
711332202244
oct2433727400
9786137413
10342863616
111665a0567
12969a8540
1356057ba4
1433770424
1520179346
hex146faf00

342863616 has 72 divisors (see below), whose sum is σ = 966231504. Its totient is φ = 107560960.

The previous prime is 342863611. The next prime is 342863659. The reversal of 342863616 is 616368243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342863611) 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, 75 + ... + 26186.

It is an arithmetic number, because the mean of its divisors is an integer number (13419882).

Almost surely, 2342863616 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 342863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483115752).

342863616 is an abundant number, since it is smaller than the sum of its proper divisors (623367888).

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

342863616 is a wasteful number, since it uses less digits than its factorization.

342863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26297 (or 26283 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 342863616 is about 18516.5767894608. The cubic root of 342863616 is about 699.9072094691.

The spelling of 342863616 in words is "three hundred forty-two million, eight hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 26261 52522 78783 105044 157566 210088 315132 420176 446437 630264 840352 892874 1260528 1339311 1680704 1785748 2521056 2678622 3361408 3571496 5042112 5357244 6722816 7142992 10084224 10714488 14285984 20168448 21428976 28571968 42857952 57143936 85715904 114287872 171431808 342863616