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234640320 = 26352331049
BaseRepresentation
bin11011111110001…
…01001111000000
3121100111222000020
431333011033000
5440031442240
635141053440
75546260365
oct1577051700
9540458006
10234640320
111104a2822
12666b7280
13397c5435
142323c46c
15158ed0d0
hexdfc53c0

234640320 has 112 divisors (see below), whose sum is σ = 748893600. Its totient is φ = 62242816.

The previous prime is 234640313. The next prime is 234640321. The reversal of 234640320 is 23046432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234640321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223156 + ... + 224204.

It is an arithmetic number, because the mean of its divisors is an integer number (6686550).

Almost surely, 2234640320 is an apocalyptic number.

234640320 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 234640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

234640320 is an abundant number, since it is smaller than the sum of its proper divisors (514253280).

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

234640320 is a wasteful number, since it uses less digits than its factorization.

234640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 234640320 is about 15317.9737563426. The cubic root of 234640320 is about 616.7855834300.

Adding to 234640320 its reverse (23046432), we get a palindrome (257686752).

The spelling of 234640320 in words is "two hundred thirty-four million, six hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 233 240 320 466 480 699 932 960 1049 1165 1398 1864 2098 2330 2796 3147 3495 3728 4196 4660 5245 5592 6294 6990 7456 8392 9320 10490 11184 12588 13980 14912 15735 16784 18640 20980 22368 25176 27960 31470 33568 37280 41960 44736 50352 55920 62940 67136 74560 83920 100704 111840 125880 167840 201408 223680 244417 251760 335680 488834 503520 733251 977668 1007040 1222085 1466502 1955336 2444170 2933004 3666255 3910672 4888340 5866008 7332510 7821344 9776680 11732016 14665020 15642688 19553360 23464032 29330040 39106720 46928064 58660080 78213440 117320160 234640320