Search a number
-
+
245394300 = 223522772953
BaseRepresentation
bin11101010000001…
…10101101111100
3122002202022200210
432220012231330
51000310104200
640203352420
76036550164
oct1650065574
9562668623
10245394300
11116578408
126a222710
133babc238
142483b5a4
1516824650
hexea06b7c

245394300 has 72 divisors (see below), whose sum is σ = 712812016. Its totient is φ = 65180160.

The previous prime is 245394299. The next prime is 245394311. The reversal of 245394300 is 3493542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81624 + ... + 84576.

Almost surely, 2245394300 is an apocalyptic number.

245394300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245394300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356406008).

245394300 is an abundant number, since it is smaller than the sum of its proper divisors (467417716).

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

245394300 is a wasteful number, since it uses less digits than its factorization.

245394300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 245394300 is about 15665.0662303100. The cubic root of 245394300 is about 626.0679767084.

The spelling of 245394300 in words is "two hundred forty-five million, three hundred ninety-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 300 554 831 1108 1385 1662 2770 2953 3324 4155 5540 5906 6925 8310 8859 11812 13850 14765 16620 17718 20775 27700 29530 35436 41550 44295 59060 73825 83100 88590 147650 177180 221475 295300 442950 817981 885900 1635962 2453943 3271924 4089905 4907886 8179810 9815772 12269715 16359620 20449525 24539430 40899050 49078860 61348575 81798100 122697150 245394300