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33432240340 = 22510141164837
BaseRepresentation
bin11111001000101101…
…111000000011010100
310012021221122202222201
4133020231320003110
51021432123142330
623205240534244
72262324232312
oct371055700324
9105257582881
1033432240340
11131a669aaa4
126590481384
1331ca498845
1418922090b2
15d0a0edeca
hex7c8b780d4

33432240340 has 24 divisors (see below), whose sum is σ = 70215053832. Its totient is φ = 13371496320.

The previous prime is 33432240329. The next prime is 33432240449. The reversal of 33432240340 is 4304223433.

It can be written as a sum of positive squares in 4 ways, for example, as 8799565636 + 24632674704 = 93806^2 + 156948^2 .

It is a super-2 number, since 2×334322403402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33432240299 and 33432240308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120402 + ... + 285238.

It is an arithmetic number, because the mean of its divisors is an integer number (2925627243).

Almost surely, 233432240340 is an apocalyptic number.

It is an amenable number.

33432240340 is an abundant number, since it is smaller than the sum of its proper divisors (36782813492).

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

33432240340 is a wasteful number, since it uses less digits than its factorization.

33432240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174987 (or 174985 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 33432240340 its reverse (4304223433), we get a palindrome (37736463773).

The spelling of 33432240340 in words is "thirty-three billion, four hundred thirty-two million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 10141 20282 40564 50705 101410 164837 202820 329674 659348 824185 1648370 3296740 1671612017 3343224034 6686448068 8358060085 16716120170 33432240340