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34152216 = 23372113257
BaseRepresentation
bin1000001001000…
…1111100011000
32101021010000220
42002101330120
532220332331
63220000040
7563201100
oct202217430
971233026
1034152216
111830707a
12b530020
1370c9c17
144770200
152ee9296
hex2091f18

34152216 has 96 divisors (see below), whose sum is σ = 100589040. Its totient is φ = 9633792.

The previous prime is 34152203. The next prime is 34152229. The reversal of 34152216 is 61225143.

It is an interprime number because it is at equal distance from previous prime (34152203) and next prime (34152229).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 132760 + ... + 133016.

Almost surely, 234152216 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 34152216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50294520).

34152216 is an abundant number, since it is smaller than the sum of its proper divisors (66436824).

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

34152216 is a wasteful number, since it uses less digits than its factorization.

34152216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 34152216 is about 5843.9897330505. The cubic root of 34152216 is about 324.4439121708.

Adding to 34152216 its reverse (61225143), we get a palindrome (95377359).

The spelling of 34152216 in words is "thirty-four million, one hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 113 147 168 196 226 257 294 339 392 452 514 588 678 771 791 904 1028 1176 1356 1542 1582 1799 2056 2373 2712 3084 3164 3598 4746 5397 5537 6168 6328 7196 9492 10794 11074 12593 14392 16611 18984 21588 22148 25186 29041 33222 37779 43176 44296 50372 58082 66444 75558 87123 100744 116164 132888 151116 174246 203287 232328 302232 348492 406574 609861 696984 813148 1219722 1423009 1626296 2439444 2846018 4269027 4878888 5692036 8538054 11384072 17076108 34152216