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34323344424 = 23323463137659
BaseRepresentation
bin11111111101110101…
…001010110000101000
310021121001102112222200
4133331311022300220
51030243234010144
623433512220200
72323364420355
oct377565126050
9107531375880
1034323344424
11136136a6756
12679a99a660
13330cc99075
1419386cb62c
15d5d46ec69
hex7fdd4ac28

34323344424 has 48 divisors (see below), whose sum is σ = 92986576800. Its totient is φ = 11437727904.

The previous prime is 34323344423. The next prime is 34323344431. The reversal of 34323344424 is 42444332343.

34323344424 is a `hidden beast` number, since 343 + 233 + 44 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34323344423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180507 + ... + 318165.

It is an arithmetic number, because the mean of its divisors is an integer number (1937220350).

Almost surely, 234323344424 is an apocalyptic number.

It is an amenable number.

34323344424 is an abundant number, since it is smaller than the sum of its proper divisors (58663232376).

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

34323344424 is a wasteful number, since it uses less digits than its factorization.

34323344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141134 (or 141127 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 34323344424 its reverse (42444332343), we get a palindrome (76767676767).

The spelling of 34323344424 in words is "thirty-four billion, three hundred twenty-three million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3463 6926 10389 13852 20778 27704 31167 41556 62334 83112 124668 137659 249336 275318 412977 550636 825954 1101272 1238931 1651908 2477862 3303816 4955724 9911448 476713117 953426234 1430139351 1906852468 2860278702 3813704936 4290418053 5720557404 8580836106 11441114808 17161672212 34323344424