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341729440 = 25513198647
BaseRepresentation
bin10100010111100…
…110000010100000
3212211000122122221
4110113212002200
51144440320230
653524240424
711316436513
oct2427460240
9784018587
10341729440
11165996428
1296540114
1355a4b890
1433556d7a
152000327a
hex145e60a0

341729440 has 96 divisors (see below), whose sum is σ = 915304320. Its totient is φ = 119522304.

The previous prime is 341729371. The next prime is 341729449. The reversal of 341729440 is 44927143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 341729396 and 341729405.

It is not an unprimeable number, because it can be changed into a prime (341729449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35197 + ... + 43843.

It is an arithmetic number, because the mean of its divisors is an integer number (9534420).

Almost surely, 2341729440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457652160).

341729440 is an abundant number, since it is smaller than the sum of its proper divisors (573574880).

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

341729440 is a wasteful number, since it uses less digits than its factorization.

341729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 341729440 is about 18485.9254569524. The cubic root of 341729440 is about 699.1346040386.

The spelling of 341729440 in words is "three hundred forty-one million, seven hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3952 4940 7904 8647 9880 17294 19760 34588 39520 43235 69176 86470 112411 138352 164293 172940 224822 276704 328586 345880 449644 562055 657172 691760 821465 899288 1124110 1314344 1383520 1642930 1798576 2135809 2248220 2628688 3285860 3597152 4271618 4496440 5257376 6571720 8543236 8992880 10679045 13143440 17086472 17985760 21358090 26286880 34172944 42716180 68345888 85432360 170864720 341729440