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245365344 = 25327217387
BaseRepresentation
bin11101001111111…
…11101001100000
3122002200211222100
432213333221200
51000303142334
640203010400
76036366600
oct1647775140
9562624870
10245365344
11116558684
126a209a00
133baabcc3
1424830c00
151681ac99
hexe9ffa60

245365344 has 108 divisors (see below), whose sum is σ = 811724004. Its totient is φ = 70100352.

The previous prime is 245365343. The next prime is 245365349. The reversal of 245365344 is 443563542.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245365299 and 245365308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245365343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5419 + ... + 22805.

It is an arithmetic number, because the mean of its divisors is an integer number (7515963).

Almost surely, 2245365344 is an apocalyptic number.

245365344 is a gapful number since it is divisible by the number (24) 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 245365344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405862002).

245365344 is an abundant number, since it is smaller than the sum of its proper divisors (566358660).

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

245365344 is a wasteful number, since it uses less digits than its factorization.

245365344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17399 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 245365344 is about 15664.1419809704. The cubic root of 245365344 is about 626.0433508479.

The spelling of 245365344 in words is "two hundred forty-five million, three hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 17387 34774 52161 69548 104322 121709 139096 156483 208644 243418 278192 312966 365127 417288 486836 556384 625932 730254 834576 851963 973672 1095381 1251864 1460508 1669152 1703926 1947344 2190762 2503728 2555889 2921016 3407852 3894688 4381524 5007456 5111778 5842032 6815704 7667667 8763048 10223556 11684064 13631408 15335334 17526096 20447112 27262816 30670668 35052192 40894224 61341336 81788448 122682672 245365344