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234334320 = 243511372399
BaseRepresentation
bin11011111011110…
…10100001110000
3121022221102020220
431331322201300
5434442144240
635130333040
75543544303
oct1575724160
9538842226
10234334320
11110303930
126658a180
133971907c
142319cb3a
151588c5d0
hexdf7a870

234334320 has 160 divisors (see below), whose sum is σ = 814233600. Its totient is φ = 55249920.

The previous prime is 234334319. The next prime is 234334349. The reversal of 234334320 is 23433432.

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

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, 96481 + ... + 98879.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2234334320 is an apocalyptic number.

234334320 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 234334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

234334320 is an abundant number, since it is smaller than the sum of its proper divisors (579899280).

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

234334320 is a wasteful number, since it uses less digits than its factorization.

234334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 234334320 is about 15307.9822315026. The cubic root of 234334320 is about 616.5173452272.

Adding to 234334320 its reverse (23433432), we get a palindrome (257767752).

It can be divided in two parts, 2343 and 34320, that added together give a palindrome (36663).

The spelling of 234334320 in words is "two hundred thirty-four million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2399 2442 2640 2960 3256 4070 4440 4798 4884 6105 6512 7197 8140 8880 9596 9768 11995 12210 14394 16280 19192 19536 23990 24420 26389 28788 32560 35985 38384 47980 48840 52778 57576 71970 79167 88763 95960 97680 105556 115152 131945 143940 158334 177526 191920 211112 263890 266289 287880 316668 355052 395835 422224 443815 527780 532578 575760 633336 710104 791670 887630 976393 1055560 1065156 1266672 1331445 1420208 1583340 1775260 1952786 2111120 2130312 2662890 2929179 3166680 3550520 3905572 4260624 4881965 5325780 5858358 6333360 7101040 7811144 9763930 10651560 11716716 14645895 15622288 19527860 21303120 23433432 29291790 39055720 46866864 58583580 78111440 117167160 234334320