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33405420 = 22351929303
BaseRepresentation
bin111111101101…
…1100111101100
32022212011121210
41333123213230
532022433140
63151554420
7553640616
oct177334754
968764553
1033405420
1117946a94
12b22ba10
136bc8029
144617db6
152decd80
hex1fdb9ec

33405420 has 48 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 8438976.

The previous prime is 33405403. The next prime is 33405451. The reversal of 33405420 is 2450433.

It is a happy number.

It is a super-2 number, since 2×334054202 = 2231844170752800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13512 + ... + 15791.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 233405420 is an apocalyptic number.

33405420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33405420 is an abundant number, since it is smaller than the sum of its proper divisors (65056020).

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

33405420 is a wasteful number, since it uses less digits than its factorization.

33405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29334 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 33405420 is about 5779.7422087841. The cubic root of 33405420 is about 322.0616242022.

Adding to 33405420 its reverse (2450433), we get a palindrome (35855853).

The spelling of 33405420 in words is "thirty-three million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 29303 58606 87909 117212 146515 175818 293030 351636 439545 556757 586060 879090 1113514 1670271 1758180 2227028 2783785 3340542 5567570 6681084 8351355 11135140 16702710 33405420