Search a number
-
+
342591216 = 243111514297
BaseRepresentation
bin10100011010111…
…000011011110000
3212212122102210120
4110122320123300
51200200404331
653554530240
711326656132
oct2432703360
9785572716
10342591216
11166424940
1296896980
1355c90bc6
14336dd052
1520123796
hex146b86f0

342591216 has 80 divisors (see below), whose sum is σ = 972104448. Its totient is φ = 103104000.

The previous prime is 342591211. The next prime is 342591217. The reversal of 342591216 is 612195243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342591211) 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, 77580 + ... + 81876.

Almost surely, 2342591216 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 342591216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486052224).

342591216 is an abundant number, since it is smaller than the sum of its proper divisors (629513232).

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

342591216 is a wasteful number, since it uses less digits than its factorization.

342591216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 342591216 is about 18509.2197566510. The cubic root of 342591216 is about 699.7218051003.

The spelling of 342591216 in words is "three hundred forty-two million, five hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 906 1208 1661 1812 2416 3322 3624 4297 4983 6644 7248 8594 9966 12891 13288 17188 19932 25782 26576 34376 39864 47267 51564 68752 79728 94534 103128 141801 189068 206256 283602 378136 567204 648847 756272 1134408 1297694 1946541 2268816 2595388 3893082 5190776 7137317 7786164 10381552 14274634 15572328 21411951 28549268 31144656 42823902 57098536 85647804 114197072 171295608 342591216