Search a number
-
+
33024130344 = 2332976197639
BaseRepresentation
bin11110110000011001…
…000011110100101000
310011020111201122022200
4132300121003310220
51020113134132334
623100541420200
72246240322252
oct366031036450
9104214648280
1033024130344
1113007295a07
12649786a660
133163a77a3a
141853d32cd2
15cd4387799
hex7b0643d28

33024130344 has 96 divisors (see below), whose sum is σ = 90520248000. Its totient is φ = 10875534336.

The previous prime is 33024130291. The next prime is 33024130369. The reversal of 33024130344 is 44303142033.

33024130344 is a `hidden beast` number, since 3 + 302 + 4 + 13 + 0 + 344 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4319277 + ... + 4326915.

It is an arithmetic number, because the mean of its divisors is an integer number (942919250).

Almost surely, 233024130344 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 33024130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45260124000).

33024130344 is an abundant number, since it is smaller than the sum of its proper divisors (57496117656).

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

33024130344 is a wasteful number, since it uses less digits than its factorization.

33024130344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33024130344 its reverse (44303142033), we get a palindrome (77327272377).

The spelling of 33024130344 in words is "thirty-three billion, twenty-four million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 619 776 873 1164 1238 1746 1857 2328 2476 3492 3714 4952 5571 6984 7428 7639 11142 14856 15278 22284 22917 30556 44568 45834 60043 61112 68751 91668 120086 137502 180129 183336 240172 275004 360258 480344 540387 550008 720516 740983 1080774 1441032 1481966 2161548 2222949 2963932 4323096 4445898 4728541 5927864 6668847 8891796 9457082 13337694 14185623 17783592 18914164 26675388 28371246 37828328 42556869 53350776 56742492 85113738 113484984 170227476 340454952 458668477 917336954 1376005431 1834673908 2752010862 3669347816 4128016293 5504021724 8256032586 11008043448 16512065172 33024130344