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34002216 = 2332472253
BaseRepresentation
bin1000000110110…
…1010100101000
32100222111021100
42001231110220
532201032331
63212441400
7562004553
oct201552450
970874240
1034002216
1118214406
12b479260
137076871
14473169a
152eb9ae6
hex206d528

34002216 has 24 divisors (see below), whose sum is σ = 92089530. Its totient is φ = 11334048.

The previous prime is 34002187. The next prime is 34002251. The reversal of 34002216 is 61220043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22752900 + 11249316 = 4770^2 + 3354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236055 + ... + 236198.

Almost surely, 234002216 is an apocalyptic number.

34002216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34002216 is an abundant number, since it is smaller than the sum of its proper divisors (58087314).

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

34002216 is a wasteful number, since it uses less digits than its factorization.

34002216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472265 (or 472258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34002216 is about 5831.1419121815. The cubic root of 34002216 is about 323.9682181903.

Adding to 34002216 its reverse (61220043), we get a palindrome (95222259).

The spelling of 34002216 in words is "thirty-four million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 472253 944506 1416759 1889012 2833518 3778024 4250277 5667036 8500554 11334072 17001108 34002216