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33424132 = 22753101223
BaseRepresentation
bin111111110000…
…0001100000100
32022220010021211
41333200030010
532024033012
63152221204
7554046310
oct177401404
968803254
1033424132
111795a055
12b23a804
136c036c1
144620b40
152e036a7
hex1fe0304

33424132 has 48 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 13852800.

The previous prime is 33424123. The next prime is 33424207. The reversal of 33424132 is 23142433.

It is a happy number.

It is a super-2 number, since 2×334241322 = 2234345199906848, which contains 22 as substring.

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, 149773 + ... + 149995.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 233424132 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 33424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176).

33424132 is an abundant number, since it is smaller than the sum of its proper divisors (35668220).

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

33424132 is a wasteful number, since it uses less digits than its factorization.

33424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 33424132 is about 5781.3607394799. The cubic root of 33424132 is about 322.1217471027.

Adding to 33424132 its reverse (23142433), we get a palindrome (56566565).

The spelling of 33424132 in words is "thirty-three million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 101 106 202 212 223 371 404 446 707 742 892 1414 1484 1561 2828 3122 5353 6244 10706 11819 21412 22523 23638 37471 45046 47276 74942 82733 90092 149884 157661 165466 315322 330932 630644 1193719 2387438 4774876 8356033 16712066 33424132