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33996424 = 23711229241
BaseRepresentation
bin1000000110101…
…1111010001000
32100222012022211
42001223322020
532200341144
63212354504
7561651640
oct201537210
970865284
1033996424
1118210020
12b475a34
137074037
14472d520
152eb8034
hex206be88

33996424 has 64 divisors (see below), whose sum is σ = 80150400. Its totient is φ = 13132800.

The previous prime is 33996409. The next prime is 33996493. The reversal of 33996424 is 42469933.

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 15 ways as a sum of consecutive naturals, for example, 140944 + ... + 141184.

It is an arithmetic number, because the mean of its divisors is an integer number (1252350).

Almost surely, 233996424 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 33996424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075200).

33996424 is an abundant number, since it is smaller than the sum of its proper divisors (46153976).

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

33996424 is a wasteful number, since it uses less digits than its factorization.

33996424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 33996424 is about 5830.6452473118. The cubic root of 33996424 is about 323.9498220317.

The spelling of 33996424 in words is "thirty-three million, nine hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 229 241 308 458 482 616 916 964 1603 1687 1832 1928 2519 2651 3206 3374 5038 5302 6412 6748 10076 10604 12824 13496 17633 18557 20152 21208 35266 37114 55189 70532 74228 110378 141064 148456 220756 386323 441512 607079 772646 1214158 1545292 2428316 3090584 4249553 4856632 8499106 16998212 33996424