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34201312 = 257983163
BaseRepresentation
bin1000001001110…
…1111011100000
32101100121101021
42002131323200
532223420222
63221015224
7563464165
oct202357340
971317337
1034201312
111833aa52
12b554514
137116382
14478406c
153008ac7
hex209dee0

34201312 has 48 divisors (see below), whose sum is σ = 69431040. Its totient is φ = 16578432.

The previous prime is 34201267. The next prime is 34201313. The reversal of 34201312 is 21310243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209743 + ... + 209905.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 234201312 is an apocalyptic number.

34201312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34201312 is an abundant number, since it is smaller than the sum of its proper divisors (35229728).

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

34201312 is a wasteful number, since it uses less digits than its factorization.

34201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34201312 is about 5848.1887794427. The cubic root of 34201312 is about 324.5993073724.

Adding to 34201312 its reverse (21310243), we get a palindrome (55511555).

The spelling of 34201312 in words is "thirty-four million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 79 83 158 163 166 316 326 332 632 652 664 1264 1304 1328 2528 2608 2656 5216 6557 12877 13114 13529 25754 26228 27058 51508 52456 54116 103016 104912 108232 206032 209824 216464 412064 432928 1068791 2137582 4275164 8550328 17100656 34201312