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343255640 = 235713181521
BaseRepresentation
bin10100011101011…
…010101001011000
3212220220012012212
4110131122221120
51200333140030
654021054252
711335424210
oct2435325130
9786805185
10343255640
11166839052
1296b57388
1356164460
1433833240
1520205595
hex1475aa58

343255640 has 128 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 107827200.

The previous prime is 343255631. The next prime is 343255651. The reversal of 343255640 is 46552343.

It is a junction number, because it is equal to n+sod(n) for n = 343255597 and 343255606.

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, 658580 + ... + 659100.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2343255640 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 343255640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

343255640 is an abundant number, since it is smaller than the sum of its proper divisors (614384680).

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

343255640 is a wasteful number, since it uses less digits than its factorization.

343255640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 343255640 is about 18527.1595232513. The cubic root of 343255640 is about 700.1738615757.

The spelling of 343255640 in words is "three hundred forty-three million, two hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 181 182 260 280 362 364 455 520 521 724 728 905 910 1042 1267 1448 1810 1820 2084 2353 2534 2605 3620 3640 3647 4168 4706 5068 5210 6335 6773 7240 7294 9412 10136 10420 11765 12670 13546 14588 16471 18235 18824 20840 23530 25340 27092 29176 32942 33865 36470 47060 47411 50680 54184 65884 67730 72940 82355 94120 94301 94822 131768 135460 145880 164710 188602 189644 237055 270920 329420 377204 379288 471505 474110 658840 660107 754408 943010 948220 1225913 1320214 1886020 1896440 2451826 2640428 3300535 3772040 4903652 5280856 6129565 6601070 8581391 9807304 12259130 13202140 17162782 24518260 26404280 34325564 42906955 49036520 68651128 85813910 171627820 343255640