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245430432 = 25331321851
BaseRepresentation
bin11101010000011…
…11100010100000
3122002211011021000
432220033202200
51000312233212
640204232000
76040060422
oct1650174240
9562734230
10245430432
111165a2575
126a23b600
133bb02810
142484a812
15168301dc
hexea0f8a0

245430432 has 96 divisors (see below), whose sum is σ = 770938560. Its totient is φ = 75513600.

The previous prime is 245430397. The next prime is 245430433. The reversal of 245430432 is 234034542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 245430396 and 245430405.

It is not an unprimeable number, because it can be changed into a prime (245430433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307 + ... + 22157.

It is an arithmetic number, because the mean of its divisors is an integer number (8030610).

Almost surely, 2245430432 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 245430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385469280).

245430432 is an abundant number, since it is smaller than the sum of its proper divisors (525508128).

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

245430432 is a wasteful number, since it uses less digits than its factorization.

245430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 245430432 is about 15666.2194546100. The cubic root of 245430432 is about 626.0987027386.

Adding to 245430432 its reverse (234034542), we get a palindrome (479464974).

The spelling of 245430432 in words is "two hundred forty-five million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 21851 43702 65553 87404 131106 174808 196659 262212 284063 349616 393318 524424 568126 589977 699232 786636 852189 1048848 1136252 1179954 1573272 1704378 2097696 2272504 2359908 2556567 3146544 3408756 4545008 4719816 5113134 6293088 6817512 7669701 9090016 9439632 10226268 13635024 15339402 18879264 20452536 27270048 30678804 40905072 61357608 81810144 122715216 245430432