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34883316 = 223213193923
BaseRepresentation
bin1000010100010…
…0011011110100
32102122020220200
42011010123310
532412231231
63243400500
7602334426
oct205043364
972566820
1034883316
1118766396
12b823130
1372c4920
1448c0816
1530e0be6
hex21446f4

34883316 has 72 divisors (see below), whose sum is σ = 99983520. Its totient is φ = 10165824.

The previous prime is 34883309. The next prime is 34883327. The reversal of 34883316 is 61338843.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6931 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (1388660).

Almost surely, 234883316 is an apocalyptic number.

34883316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34883316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991760).

34883316 is an abundant number, since it is smaller than the sum of its proper divisors (65100204).

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

34883316 is a wasteful number, since it uses less digits than its factorization.

34883316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3960 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34883316 is about 5906.2099522452. The cubic root of 34883316 is about 326.7427205029.

The spelling of 34883316 in words is "thirty-four million, eight hundred eighty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 3923 4446 7846 8892 11769 15692 23538 35307 47076 50999 70614 74537 101998 141228 149074 152997 203996 223611 298148 305994 447222 458991 611988 670833 894444 917982 968981 1341666 1835964 1937962 2683332 2906943 3875924 5813886 8720829 11627772 17441658 34883316