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34194216 = 2337375501
BaseRepresentation
bin1000001001110…
…0001100101000
32101100020122110
42002130030220
532223203331
63220522320
7563434410
oct202341450
971306573
1034194216
1118335691
12b5503a0
137113084
144781640
153006946
hex209c328

34194216 has 64 divisors (see below), whose sum is σ = 100356480. Its totient is φ = 9504000.

The previous prime is 34194197. The next prime is 34194233. The reversal of 34194216 is 61249143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466 + ... + 8966.

It is an arithmetic number, because the mean of its divisors is an integer number (1568070).

Almost surely, 234194216 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 34194216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50178240).

34194216 is an abundant number, since it is smaller than the sum of its proper divisors (66162264).

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

34194216 is a wasteful number, since it uses less digits than its factorization.

34194216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5550 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 34194216 is about 5847.5820644092. The cubic root of 34194216 is about 324.5768568106.

The spelling of 34194216 in words is "thirty-four million, one hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 5501 6216 11002 16503 22004 33006 38507 44008 66012 77014 115521 132024 154028 203537 231042 308056 407074 462084 610611 814148 924168 1221222 1424759 1628296 2442444 2849518 4274277 4884888 5699036 8548554 11398072 17097108 34194216