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3404054000 = 245314911423
BaseRepresentation
bin1100101011100101…
…1011110111110000
322210020022212020002
43022321123313300
523432414212000
61321440405132
7150232660454
oct31271336760
98706285202
103404054000
111497555176
127b00167a8
13423315149
14244144664
1514dca88d5
hexcae5bdf0

3404054000 has 80 divisors (see below), whose sum is σ = 8286969600. Its totient is φ = 1352364800.

The previous prime is 3404053999. The next prime is 3404054039. The reversal of 3404054000 is 4504043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292289 + ... + 303711.

It is an arithmetic number, because the mean of its divisors is an integer number (103587120).

Almost surely, 23404054000 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 3404054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

3404054000 is an abundant number, since it is smaller than the sum of its proper divisors (4882915600).

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

3404054000 is a wasteful number, since it uses less digits than its factorization.

3404054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3404054000 is about 58344.2713554639. The cubic root of 3404054000 is about 1504.2920037191.

Adding to 3404054000 its reverse (4504043), we get a palindrome (3408558043).

The spelling of 3404054000 in words is "three billion, four hundred four million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 745 1000 1192 1490 2000 2384 2980 3725 5960 7450 11423 11920 14900 18625 22846 29800 37250 45692 57115 59600 74500 91384 114230 149000 182768 228460 285575 298000 456920 571150 913840 1142300 1427875 1702027 2284600 2855750 3404054 4569200 5711500 6808108 8510135 11423000 13616216 17020270 22846000 27232432 34040540 42550675 68081080 85101350 136162160 170202700 212753375 340405400 425506750 680810800 851013500 1702027000 3404054000