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235434464 = 2541311577
BaseRepresentation
bin11100000100001…
…11000111100000
3121102000022100222
432002013013200
5440232400324
635210102212
75556105566
oct1602070740
9542008328
10235434464
11110995441
1266a1a968
1339a12a45
14233a7a36
1515a0855e
hexe0871e0

235434464 has 48 divisors (see below), whose sum is σ = 477169056. Its totient is φ = 114278400.

The previous prime is 235434461. The next prime is 235434481. The reversal of 235434464 is 464434532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235434461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407744 + ... + 408320.

It is an arithmetic number, because the mean of its divisors is an integer number (9941022).

Almost surely, 2235434464 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 235434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238584528).

235434464 is an abundant number, since it is smaller than the sum of its proper divisors (241734592).

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

235434464 is a wasteful number, since it uses less digits than its factorization.

235434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its digits is 138240, while the sum is 35.

The square root of 235434464 is about 15343.8738263843. The cubic root of 235434464 is about 617.4806401728.

Adding to 235434464 its reverse (464434532), we get a palindrome (699868996).

The spelling of 235434464 in words is "two hundred thirty-five million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 311 328 577 622 656 1154 1244 1312 2308 2488 4616 4976 9232 9952 12751 18464 23657 25502 47314 51004 94628 102008 179447 189256 204016 358894 378512 408032 717788 757024 1435576 2871152 5742304 7357327 14714654 29429308 58858616 117717232 235434464