Search a number
-
+
3345200000 = 27558363
BaseRepresentation
bin1100011101100011…
…1011001110000000
322122010120202201022
43013120323032000
523322332400000
61311535125012
7145616505452
oct30730731600
98563522638
103345200000
1114673072aa
12794373768
134140799ac
1423a3c42d2
15148a30585
hexc763b380

3345200000 has 96 divisors (see below), whose sum is σ = 8330794920. Its totient is φ = 1337920000.

The previous prime is 3345199999. The next prime is 3345200009. The reversal of 3345200000 is 25433.

It is a super-2 number, since 2×33452000002 = 22380726080000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345200009) 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, 395819 + ... + 404181.

Almost surely, 23345200000 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 3345200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165397460).

3345200000 is an abundant number, since it is smaller than the sum of its proper divisors (4985594920).

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

3345200000 is an frugal number, since it uses more digits than its factorization.

3345200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3345200000 is about 57837.7039654930. The cubic root of 3345200000 is about 1495.5721273422.

Adding to 3345200000 its reverse (25433), we get a palindrome (3345225433).

The spelling of 3345200000 in words is "three billion, three hundred forty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 8363 10000 12500 16000 16726 20000 25000 33452 40000 41815 50000 66904 80000 83630 100000 133808 167260 200000 209075 267616 334520 400000 418150 535232 669040 836300 1045375 1070464 1338080 1672600 2090750 2676160 3345200 4181500 5226875 5352320 6690400 8363000 10453750 13380800 16726000 20907500 26134375 26761600 33452000 41815000 52268750 66904000 83630000 104537500 133808000 167260000 209075000 334520000 418150000 669040000 836300000 1672600000 3345200000