[go: up one dir, main page]

Search a number
-
+
233415342 = 232193172153
BaseRepresentation
bin11011110100110…
…10001010101110
3121021012201122200
431322122022232
5434223242332
635054522330
75532666126
oct1572321256
9537181580
10233415342
1110a836446
12662063a6
13394869b4
1422dddc86
151575a17c
hexde9a2ae

233415342 has 48 divisors (see below), whose sum is σ = 534278160. Its totient is φ = 73443456.

The previous prime is 233415331. The next prime is 233415353. The reversal of 233415342 is 243514332.

It is an interprime number because it is at equal distance from previous prime (233415331) and next prime (233415353).

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, 107338 + ... + 109490.

It is an arithmetic number, because the mean of its divisors is an integer number (11130795).

Almost surely, 2233415342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233415342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267139080).

233415342 is an abundant number, since it is smaller than the sum of its proper divisors (300862818).

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

233415342 is a wasteful number, since it uses less digits than its factorization.

233415342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2494 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 233415342 is about 15277.9364444286. The cubic root of 233415342 is about 615.7103669469.

Adding to 233415342 its reverse (243514332), we get a palindrome (476929674).

It can be divided in two parts, 233415 and 342, that multiplied together give a triangular number (79827930 = T12635).

The spelling of 233415342 in words is "two hundred thirty-three million, four hundred fifteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 317 342 634 951 1902 2153 2853 4306 5706 6023 6459 12046 12918 18069 19377 36138 38754 40907 54207 81814 108414 122721 245442 368163 682501 736326 1365002 2047503 4095006 6142509 12285018 12967519 25935038 38902557 77805114 116707671 233415342