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34048669000 = 235334048669
BaseRepresentation
bin11111101101011101…
…010111010101001000
310020212220120121010211
4133231131113111020
51024212424402000
623350341050504
72313520624363
oct375535272510
9106786517124
1034048669000
1113492649a75
1267229b6a34
1332980c7128
14191002b0da
15d442b47ba
hex7ed757548

34048669000 has 32 divisors (see below), whose sum is σ = 79673887800. Its totient is φ = 13619467200.

The previous prime is 34048668923. The next prime is 34048669007. The reversal of 34048669000 is 96684043.

It can be written as a sum of positive squares in 4 ways, for example, as 22808852676 + 11239816324 = 151026^2 + 106018^2 .

It is a super-2 number, since 2×340486690002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34048669007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17023335 + ... + 17025334.

Almost surely, 234048669000 is an apocalyptic number.

It is an amenable number.

34048669000 is an abundant number, since it is smaller than the sum of its proper divisors (45625218800).

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

34048669000 is a wasteful number, since it uses less digits than its factorization.

34048669000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048690 (or 34048676 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 34048669000 in words is "thirty-four billion, forty-eight million, six hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 34048669 68097338 136194676 170243345 272389352 340486690 680973380 851216725 1361946760 1702433450 3404866900 4256083625 6809733800 8512167250 17024334500 34048669000