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216864342 = 23217897963
BaseRepresentation
bin11001110110100…
…01011001010110
3120010001211221200
430323101121112
5421004124332
633304053330
75242213362
oct1473213126
9503054850
10216864342
11101461432
1260764246
1335c103c6
1420b322a2
151408b17c
hexced1656

216864342 has 48 divisors (see below), whose sum is σ = 503165520. Its totient is φ = 67262976.

The previous prime is 216864341. The next prime is 216864367. The reversal of 216864342 is 243468612.

216864342 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 643 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216864297 and 216864306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216864341) 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, 23253 + ... + 31215.

It is an arithmetic number, because the mean of its divisors is an integer number (10482615).

Almost surely, 2216864342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216864342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251582760).

216864342 is an abundant number, since it is smaller than the sum of its proper divisors (286301178).

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

216864342 is a wasteful number, since it uses less digits than its factorization.

216864342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077 (or 8074 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 216864342 is about 14726.3146102479. The cubic root of 216864342 is about 600.7992515223.

The spelling of 216864342 in words is "two hundred sixteen million, eight hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 4539 7963 9078 13617 15926 23889 27234 47778 71667 135371 143334 270742 406113 708707 812226 1218339 1417414 2126121 2436678 4252242 6378363 12048019 12756726 24096038 36144057 72288114 108432171 216864342