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34287216 = 2431734129
BaseRepresentation
bin1000001011001…
…0111001110000
32101111222012220
42002302321300
532234142331
63222521040
7564302505
oct202627160
971458186
1034287216
1118399547
12b596180
1371464c2
1447a74ac
153024296
hex20b2e70

34287216 has 40 divisors (see below), whose sum is σ = 89108880. Its totient is φ = 11360256.

The previous prime is 34287199. The next prime is 34287223. The reversal of 34287216 is 61278243.

It is a super-2 number, since 2×342872162 = 2351226362061312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6240 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (2227722).

Almost surely, 234287216 is an apocalyptic number.

It is an amenable number.

34287216 is an abundant number, since it is smaller than the sum of its proper divisors (54821664).

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

34287216 is a wasteful number, since it uses less digits than its factorization.

34287216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4307 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 34287216 is about 5855.5286695567. The cubic root of 34287216 is about 324.8708473018.

The spelling of 34287216 in words is "thirty-four million, two hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4129 4152 8258 8304 12387 16516 24774 33032 49548 66064 99096 198192 714317 1428634 2142951 2857268 4285902 5714536 8571804 11429072 17143608 34287216