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34404001000 = 235334404001
BaseRepresentation
bin100000000010101000…
…110110010011101000
310021210200012100000021
4200002220312103220
51030424411013000
623445513050224
72325364116625
oct400250662350
9107720170007
1034404001000
1113655186186
1268019b6974
1333238c9255
1419452c534c
15d655a311a
hex802a364e8

34404001000 has 32 divisors (see below), whose sum is σ = 80505364680. Its totient is φ = 13761600000.

The previous prime is 34404000997. The next prime is 34404001007. The reversal of 34404001000 is 10040443.

It can be written as a sum of positive squares in 4 ways, for example, as 22837858884 + 11566142116 = 151122^2 + 107546^2 .

It is not an unprimeable number, because it can be changed into a prime (34404001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17201001 + ... + 17203000.

Almost surely, 234404001000 is an apocalyptic number.

It is an amenable number.

34404001000 is an abundant number, since it is smaller than the sum of its proper divisors (46101363680).

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

34404001000 is a wasteful number, since it uses less digits than its factorization.

34404001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34404022 (or 34404008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34404001000 its reverse (10040443), we get a palindrome (34414041443).

The spelling of 34404001000 in words is "thirty-four billion, four hundred four million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 34404001 68808002 137616004 172020005 275232008 344040010 688080020 860100025 1376160040 1720200050 3440400100 4300500125 6880800200 8601000250 17202000500 34404001000