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344143234320 = 243529376113147
BaseRepresentation
bin1010000001000001000…
…10010000010100010000
31012220021221012200020120
411000200202100110100
521114301131444240
6422032555510240
733602122140444
oct5004042202420
91186257180216
10344143234320
11122a4a97a636
1256844a58380
13265b63a30c2
1412929aaa824
158e42cb0ad0
hex5020890510

344143234320 has 160 divisors (see below), whose sum is σ = 1104009160320. Its totient is φ = 88576696320.

The previous prime is 344143234301. The next prime is 344143234327. The reversal of 344143234320 is 23432341443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (344143234327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26169987 + ... + 26183133.

It is an arithmetic number, because the mean of its divisors is an integer number (6900057252).

Almost surely, 2344143234320 is an apocalyptic number.

344143234320 is a gapful number since it is divisible by the number (30) 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 344143234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552004580160).

344143234320 is an abundant number, since it is smaller than the sum of its proper divisors (759865926000).

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

344143234320 is a wasteful number, since it uses less digits than its factorization.

344143234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 344143234320 its reverse (23432341443), we get a palindrome (367575575763).

The spelling of 344143234320 in words is "three hundred forty-four billion, one hundred forty-three million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 3761 6960 7522 11283 13147 15044 18805 22566 26294 30088 37610 39441 45132 52588 56415 60176 65735 75220 78882 90264 105176 109069 112830 131470 150440 157764 180528 197205 210352 218138 225660 262940 300880 315528 327207 381263 394410 436276 451320 525880 545345 631056 654414 762526 788820 872552 902640 1051760 1090690 1143789 1308828 1525052 1577640 1636035 1745104 1906315 2181380 2287578 2617656 3050104 3155280 3272070 3812630 4362760 4575156 5235312 5718945 6100208 6544140 7625260 8725520 9150312 11437890 13088280 15250520 18300624 22875780 26176560 30501040 45751560 49445867 91503120 98891734 148337601 197783468 247229335 296675202 395566936 494458670 593350404 741688005 791133872 988917340 1186700808 1433930143 1483376010 1977834680 2373401616 2867860286 2966752020 3955669360 4301790429 5735720572 5933504040 7169650715 8603580858 11471441144 11867008080 14339301430 17207161716 21508952145 22942882288 28678602860 34414323432 43017904290 57357205720 68828646864 86035808580 114714411440 172071617160 344143234320