Search a number
-
+
33890316 = 223172331233
BaseRepresentation
bin1000000101001…
…0000000001100
32100202210202220
42001102000030
532133442231
63210215340
7561030405
oct201220014
970683686
1033890316
1118148329
12b424550
137037955
1447029ac
152e96896
hex205200c

33890316 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 9799680.

The previous prime is 33890291. The next prime is 33890327. The reversal of 33890316 is 61309833.

It is a super-2 number, since 2×338903162 = 2297107037159712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145336 + ... + 145568.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 233890316 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 33890316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

33890316 is an abundant number, since it is smaller than the sum of its proper divisors (56684532).

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

33890316 is a wasteful number, since it uses less digits than its factorization.

33890316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 33890316 is about 5821.5389717840. The cubic root of 33890316 is about 323.6124385894.

The spelling of 33890316 in words is "thirty-three million, eight hundred ninety thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 23 31 34 46 51 62 68 69 92 93 102 124 138 186 204 233 276 372 391 466 527 699 713 782 932 1054 1173 1398 1426 1564 1581 2108 2139 2346 2796 2852 3162 3961 4278 4692 5359 6324 7223 7922 8556 10718 11883 12121 14446 15844 16077 21436 21669 23766 24242 28892 32154 36363 43338 47532 48484 64308 72726 86676 91103 122791 145452 166129 182206 245582 273309 332258 364412 368373 491164 498387 546618 664516 736746 996774 1093236 1473492 1993548 2824193 5648386 8472579 11296772 16945158 33890316