Search a number
-
+
3445310000 = 24541131321
BaseRepresentation
bin1100110101011011…
…0100001000110000
322220002221212211002
43031112310020300
524023444410000
61325512541132
7151243436366
oct31526641060
98802855732
103445310000
111508873440
128019b17a8
1342ba2b592
14249803636
151527078d5
hexcd5b4230

3445310000 has 100 divisors (see below), whose sum is σ = 9100043304. Its totient is φ = 1252800000.

The previous prime is 3445309999. The next prime is 3445310039. The reversal of 3445310000 is 135443.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×34453100002 = 23740321992200000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94340 + ... + 125660.

Almost surely, 23445310000 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 3445310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550021652).

3445310000 is an abundant number, since it is smaller than the sum of its proper divisors (5654733304).

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

3445310000 is a wasteful number, since it uses less digits than its factorization.

3445310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31360 (or 31339 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3445310000 is about 58696.7631134801. The cubic root of 3445310000 is about 1510.3447891810.

Adding to 3445310000 its reverse (135443), we get a palindrome (3445445443).

The spelling of 3445310000 in words is "three billion, four hundred forty-five million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 31321 55000 62642 110000 125284 156605 250568 313210 344531 501136 626420 689062 783025 1252840 1378124 1566050 1722655 2505680 2756248 3132100 3445310 3915125 5512496 6264200 6890620 7830250 8613275 12528400 13781240 15660500 17226550 19575625 27562480 31321000 34453100 39151250 43066375 62642000 68906200 78302500 86132750 137812400 156605000 172265500 215331875 313210000 344531000 430663750 689062000 861327500 1722655000 3445310000