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234545432 = 231121012399
BaseRepresentation
bin11011111101011…
…10000100011000
3121100100010211212
431332232010120
5440020423212
635135042252
75545413632
oct1576560430
9540303755
10234545432
11110438500
1266670388
13397911a4
1423215a52
15158cee22
hexdfae118

234545432 has 48 divisors (see below), whose sum is σ = 488376000. Its totient is φ = 105512000.

The previous prime is 234545429. The next prime is 234545449.

234545432 is nontrivially palindromic in base 10.

234545432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96569 + ... + 98967.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2234545432 is an apocalyptic number.

234545432 is a gapful number since it is divisible by the number (22) 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 234545432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

234545432 is an abundant number, since it is smaller than the sum of its proper divisors (253830568).

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

234545432 is a wasteful number, since it uses less digits than its factorization.

234545432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2513 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 234545432 is about 15314.8761666557. The cubic root of 234545432 is about 616.7024300012.

The spelling of 234545432 in words is "two hundred thirty-four million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 2399 4444 4798 8888 9596 12221 19192 24442 26389 48884 52778 97768 105556 211112 242299 290279 484598 580558 969196 1161116 1938392 2322232 2665289 5330578 10661156 21322312 29318179 58636358 117272716 234545432