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233326340 = 225131078387
BaseRepresentation
bin11011110100001…
…00011100000100
3121021001012120022
431322010130010
5434212420330
635052554312
75532145502
oct1572043404
9537035508
10233326340
1110a785595
1266182998
1339455330
1422db9672
151573dae5
hexde84704

233326340 has 48 divisors (see below), whose sum is σ = 532671552. Its totient is φ = 85335936.

The previous prime is 233326333. The next prime is 233326351. The reversal of 233326340 is 43623332.

233326340 is digitally balanced in base 3, 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 (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23627 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (11097324).

Almost surely, 2233326340 is an apocalyptic number.

233326340 is a gapful number since it is divisible by the number (20) 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 233326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266335776).

233326340 is an abundant number, since it is smaller than the sum of its proper divisors (299345212).

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

233326340 is a wasteful number, since it uses less digits than its factorization.

233326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 233326340 is about 15275.0234042374. The cubic root of 233326340 is about 615.6320995686.

Adding to 233326340 its reverse (43623332), we get a palindrome (276949672).

The spelling of 233326340 in words is "two hundred thirty-three million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 8387 13910 16774 27820 33548 41935 83870 109031 167740 218062 436124 545155 897409 1090310 1794818 2180620 3589636 4487045 8974090 11666317 17948180 23332634 46665268 58331585 116663170 233326340