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233034340 = 2257113892
BaseRepresentation
bin11011110001111…
…01001001100100
3121020111101000111
431320331021210
5434124044330
635042422404
75526521260
oct1570751144
9536441014
10233034340
1110a5a6170
1266061a04
1339382456
1422d410a0
15156d232a
hexde3d264

233034340 has 72 divisors (see below), whose sum is σ = 611698752. Its totient is φ = 72447360.

The previous prime is 233034313. The next prime is 233034379. The reversal of 233034340 is 43430332.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 598866 + ... + 599254.

It is an arithmetic number, because the mean of its divisors is an integer number (8495816).

Almost surely, 2233034340 is an apocalyptic number.

233034340 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 233034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305849376).

233034340 is an abundant number, since it is smaller than the sum of its proper divisors (378664412).

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

233034340 is a wasteful number, since it uses less digits than its factorization.

233034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 233034340 is about 15265.4623251312. The cubic root of 233034340 is about 615.3751781325.

Adding to 233034340 its reverse (43430332), we get a palindrome (276464672).

The spelling of 233034340 in words is "two hundred thirty-three million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 389 770 778 1540 1556 1945 2723 3890 4279 5446 7780 8558 10892 13615 17116 21395 27230 29953 42790 54460 59906 85580 119812 149765 151321 299530 302642 599060 605284 756605 1059247 1513210 1664531 2118494 3026420 3329062 4236988 5296235 6658124 8322655 10592470 11651717 16645310 21184940 23303434 33290620 46606868 58258585 116517170 233034340