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216412434 = 23273315189
BaseRepresentation
bin11001110011000…
…11000100010010
3120002012220001100
430321203010102
5420400144214
633250245230
75235322020
oct1471430422
9502186040
10216412434
11101182957
1260586816
1335ab27c4
1420a55710
1513eec309
hexce63112

216412434 has 48 divisors (see below), whose sum is σ = 537600960. Its totient is φ = 61633440.

The previous prime is 216412423. The next prime is 216412453. The reversal of 216412434 is 434214612.

It is a happy number.

216412434 is a `hidden beast` number, since 216 + 4 + 12 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216412398 and 216412407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39112 + ... + 44300.

It is an arithmetic number, because the mean of its divisors is an integer number (11200020).

Almost surely, 2216412434 is an apocalyptic number.

216412434 is an abundant number, since it is smaller than the sum of its proper divisors (321188526).

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

216412434 is a wasteful number, since it uses less digits than its factorization.

216412434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5532 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 216412434 is about 14710.9630548105. The cubic root of 216412434 is about 600.3816405327.

The spelling of 216412434 in words is "two hundred sixteen million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 331 662 993 1986 2317 2979 4634 5189 5958 6951 10378 13902 15567 20853 31134 36323 41706 46701 72646 93402 108969 217938 326907 653814 1717559 3435118 5152677 10305354 12022913 15458031 24045826 30916062 36068739 72137478 108206217 216412434