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33664540 = 22571353349
BaseRepresentation
bin1000000001101…
…0111000011100
32100100100001211
42000122320130
532104231130
63201314204
7556100230
oct200327034
970310054
1033664540
1118003738
12b335964
136c88c60
1446845c0
152e4ea2a
hex201ae1c

33664540 has 96 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 10423296.

The previous prime is 33664537. The next prime is 33664583. The reversal of 33664540 is 4546633.

It is a super-2 number, since 2×336645402 = 2266602506823200, which contains 22 as substring.

It is a congruent number.

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, 96286 + ... + 96634.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 233664540 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 33664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

33664540 is an abundant number, since it is smaller than the sum of its proper divisors (55241060).

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

33664540 is a wasteful number, since it uses less digits than its factorization.

33664540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 33664540 is about 5802.1151315706. The cubic root of 33664540 is about 322.8922055607.

The spelling of 33664540 in words is "thirty-three million, six hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 349 364 371 455 530 689 698 742 910 1060 1378 1396 1484 1745 1820 1855 2443 2756 3445 3490 3710 4537 4823 4886 6890 6980 7420 9074 9646 9772 12215 13780 18148 18497 19292 22685 24115 24430 31759 36994 45370 48230 48860 63518 73988 90740 92485 96460 127036 129479 158795 184970 240461 258958 317590 369940 480922 517916 635180 647395 961844 1202305 1294790 1683227 2404610 2589580 3366454 4809220 6732908 8416135 16832270 33664540