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34401213 = 3371116547
BaseRepresentation
bin1000001100111…
…0101110111101
32101201202121000
42003032232331
532301314323
63225200513
7565256040
oct203165675
971652530
1034401213
1118467160
12b630139
137186362
1447d6c57
153047e43
hex20cebbd

34401213 has 32 divisors (see below), whose sum is σ = 63544320. Its totient is φ = 17869680.

The previous prime is 34401181. The next prime is 34401239. The reversal of 34401213 is 31210443.

It is not a de Polignac number, because 34401213 - 25 = 34401181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6195 + ... + 10352.

It is an arithmetic number, because the mean of its divisors is an integer number (1985760).

Almost surely, 234401213 is an apocalyptic number.

34401213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34401213 is a deficient number, since it is larger than the sum of its proper divisors (29143107).

34401213 is a wasteful number, since it uses less digits than its factorization.

34401213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16568 counting only the distinct ones).

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

The square root of 34401213 is about 5865.2547259262. The cubic root of 34401213 is about 325.2304889648.

Adding to 34401213 its reverse (31210443), we get a palindrome (65611656).

The spelling of 34401213 in words is "thirty-four million, four hundred one thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 16547 49641 115829 148923 182017 347487 446769 546051 1042461 1274119 1638153 3127383 3822357 4914459 11467071 34401213