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33421664 = 2543107227
BaseRepresentation
bin111111101111…
…1100101100000
32022212222220102
41333133211200
532023443124
63152201532
7554036153
oct177374540
968788812
1033421664
1117958211
12b2392a8
136c02543
14461dc9a
152e02aae
hex1fdf960

33421664 has 48 divisors (see below), whose sum is σ = 68257728. Its totient is φ = 16098432.

The previous prime is 33421657. The next prime is 33421669. The reversal of 33421664 is 46612433.

It is a super-2 number, since 2×334216642 = 2234015249057792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33421669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147119 + ... + 147345.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 233421664 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 33421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128864).

33421664 is an abundant number, since it is smaller than the sum of its proper divisors (34836064).

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

33421664 is a wasteful number, since it uses less digits than its factorization.

33421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 33421664 is about 5781.1472909795. The cubic root of 33421664 is about 322.1138185394.

The spelling of 33421664 in words is "thirty-three million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 227 344 428 454 688 856 908 1376 1712 1816 3424 3632 4601 7264 9202 9761 18404 19522 24289 36808 39044 48578 73616 78088 97156 147232 156176 194312 312352 388624 777248 1044427 2088854 4177708 8355416 16710832 33421664