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34334216 = 2371923261
BaseRepresentation
bin1000001011111…
…0011000001000
32101121100200122
42002332120020
532242143331
63223522412
7564556520
oct202763010
971540618
1034334216
1118420894
12b5b9408
137161a07
1447ba680
15303317b
hex20be608

34334216 has 96 divisors (see below), whose sum is σ = 82286400. Its totient is φ = 13115520.

The previous prime is 34334207. The next prime is 34334233. The reversal of 34334216 is 61243343.

It is a happy number.

It is a congruent number.

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, 562826 + ... + 562886.

It is an arithmetic number, because the mean of its divisors is an integer number (857150).

Almost surely, 234334216 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 34334216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41143200).

34334216 is an abundant number, since it is smaller than the sum of its proper divisors (47952184).

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

34334216 is a wasteful number, since it uses less digits than its factorization.

34334216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 34334216 is about 5859.5405963266. The cubic root of 34334216 is about 325.0192209540.

Adding to 34334216 its reverse (61243343), we get a palindrome (95577559).

The spelling of 34334216 in words is "thirty-four million, three hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 61 76 92 122 133 152 161 184 244 266 322 427 437 488 529 532 644 854 874 1058 1064 1159 1288 1403 1708 1748 2116 2318 2806 3059 3416 3496 3703 4232 4636 5612 6118 7406 8113 9272 9821 10051 11224 12236 14812 16226 19642 20102 24472 26657 29624 32269 32452 39284 40204 53314 64538 64904 70357 78568 80408 106628 129076 140714 186599 213256 225883 258152 281428 373198 451766 562856 613111 746396 903532 1226222 1492792 1807064 2452444 4291777 4904888 8583554 17167108 34334216