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34139352 = 23313219443
BaseRepresentation
bin1000001000111…
…0110011011000
32101020110101110
42002032303120
532214424402
63215420320
7563115432
oct202166330
971213343
1034139352
11182a8445
12b5246a0
1370c4100
144769652
152ee556c
hex208ecd8

34139352 has 96 divisors (see below), whose sum is σ = 97502400. Its totient is φ = 9929088.

The previous prime is 34139317. The next prime is 34139363. The reversal of 34139352 is 25393143.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76843 + ... + 77285.

It is an arithmetic number, because the mean of its divisors is an integer number (1015650).

Almost surely, 234139352 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 34139352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48751200).

34139352 is an abundant number, since it is smaller than the sum of its proper divisors (63363048).

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

34139352 is a wasteful number, since it uses less digits than its factorization.

34139352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 34139352 is about 5842.8890114395. The cubic root of 34139352 is about 324.4031713238.

It can be divided in two parts, 341 and 39352, that added together give a palindrome (39693).

The spelling of 34139352 in words is "thirty-four million, one hundred thirty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 443 456 494 507 676 741 886 988 1014 1329 1352 1482 1772 1976 2028 2658 2964 3211 3544 4056 5316 5759 5928 6422 8417 9633 10632 11518 12844 16834 17277 19266 23036 25251 25688 33668 34554 38532 46072 50502 67336 69108 74867 77064 101004 109421 138216 149734 202008 218842 224601 299468 328263 437684 449202 598936 656526 875368 898404 1313052 1422473 1796808 2626104 2844946 4267419 5689892 8534838 11379784 17069676 34139352