Search a number
-
+
345200000 = 2755863
BaseRepresentation
bin10100100100110…
…101010110000000
3220001112222101012
4110210311112000
51201332400000
654130500052
711361102665
oct2444652600
9801488335
10345200000
11167946962
1297734628
1356695472
1433bbba6c
152048b735
hex14935580

345200000 has 96 divisors (see below), whose sum is σ = 860569920. Its totient is φ = 137920000.

The previous prime is 345199997. The next prime is 345200017. The reversal of 345200000 is 2543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399569 + ... + 400431.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2345200000 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 345200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430284960).

345200000 is an abundant number, since it is smaller than the sum of its proper divisors (515369920).

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

345200000 is an frugal number, since it uses more digits than its factorization.

345200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 345200000 is about 18579.5586599897. The cubic root of 345200000 is about 701.4934102676.

Adding to 345200000 its reverse (2543), we get a palindrome (345202543).

The spelling of 345200000 in words is "three hundred forty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 863 1000 1250 1600 1726 2000 2500 3125 3200 3452 4000 4315 5000 6250 6904 8000 8630 10000 12500 13808 16000 17260 20000 21575 25000 27616 34520 40000 43150 50000 55232 69040 80000 86300 100000 107875 110464 138080 172600 200000 215750 276160 345200 400000 431500 539375 552320 690400 863000 1078750 1380800 1726000 2157500 2696875 2761600 3452000 4315000 5393750 6904000 8630000 10787500 13808000 17260000 21575000 34520000 43150000 69040000 86300000 172600000 345200000