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233456340 = 2235132291307
BaseRepresentation
bin11011110101001…
…00001011010100
3121021021210220010
431322210023110
5434231100330
635055440220
75533226505
oct1572441324
9537253803
10233456340
1110a864227
1266226070
133949c560
1423010bac
15157673b0
hexdea42d4

233456340 has 96 divisors (see below), whose sum is σ = 707575680. Its totient is φ = 57171456.

The previous prime is 233456323. The next prime is 233456369. The reversal of 233456340 is 43654332.

233456340 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 233456298 and 233456307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177967 + ... + 179273.

It is an arithmetic number, because the mean of its divisors is an integer number (7370580).

Almost surely, 2233456340 is an apocalyptic number.

233456340 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 233456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353787840).

233456340 is an abundant number, since it is smaller than the sum of its proper divisors (474119340).

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

233456340 is a wasteful number, since it uses less digits than its factorization.

233456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 233456340 is about 15279.2781243094. The cubic root of 233456340 is about 615.7464134432.

The spelling of 233456340 in words is "two hundred thirty-three million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1307 1374 2290 2614 2748 2977 3435 3921 4580 5228 5954 6535 6870 7842 8931 11908 13070 13740 14885 15684 16991 17862 19605 26140 29770 33982 35724 39210 44655 50973 59540 67964 78420 84955 89310 101946 169910 178620 203892 254865 299303 339820 509730 598606 897909 1019460 1197212 1496515 1795818 2993030 3591636 3890939 4489545 5986060 7781878 8979090 11672817 15563756 17958180 19454695 23345634 38909390 46691268 58364085 77818780 116728170 233456340