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254230032 = 24372195689
BaseRepresentation
bin11110010011100…
…11111000010000
3122201101020001010
433021303320100
51010040330112
641121010520
76204630300
oct1711637020
9581336033
10254230032
11120562871
1271183a40
1340893b94
1425a9b600
15174bc63c
hexf273e10

254230032 has 120 divisors (see below), whose sum is σ = 804338400. Its totient is φ = 68802048.

The previous prime is 254230007. The next prime is 254230033. The reversal of 254230032 is 230032452.

254230032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 254229990 and 254230008.

It is not an unprimeable number, because it can be changed into a prime (254230033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41844 + ... + 47532.

It is an arithmetic number, because the mean of its divisors is an integer number (6702820).

Almost surely, 2254230032 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 254230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402169200).

254230032 is an abundant number, since it is smaller than the sum of its proper divisors (550108368).

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

254230032 is a wasteful number, since it uses less digits than its factorization.

254230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 254230032 is about 15944.5925629977. The cubic root of 254230032 is about 633.4936763611.

Adding to 254230032 its reverse (230032452), we get a palindrome (484262484).

The spelling of 254230032 in words is "two hundred fifty-four million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 5689 6384 7448 11172 11378 14896 17067 22344 22756 34134 39823 44688 45512 68268 79646 91024 108091 119469 136536 159292 216182 238938 273072 278761 318584 324273 432364 477876 557522 637168 648546 756637 836283 864728 955752 1115044 1297092 1513274 1672566 1729456 1911504 2230088 2269911 2594184 3026548 3345132 4460176 4539822 5188368 5296459 6053096 6690264 9079644 10592918 12106192 13380528 15889377 18159288 21185836 31778754 36318576 42371672 63557508 84743344 127115016 254230032