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10343234240 = 265831512579
BaseRepresentation
bin10011010001000000…
…10011101011000000
3222200211121201222122
421220200103223000
5132140331443430
64430203223412
7514213016603
oct115040235300
928624551878
1010343234240
114428538a79
122007b17b68
13c8ab44c61
1470198c33a
154080abee5
hex268813ac0

10343234240 has 112 divisors (see below), whose sum is σ = 25101377280. Its totient is φ = 4058803200.

The previous prime is 10343234201. The next prime is 10343234243. The reversal of 10343234240 is 4243234301.

It is not an unprimeable number, because it can be changed into a prime (10343234243) 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, 4009271 + ... + 4011849.

It is an arithmetic number, because the mean of its divisors is an integer number (224119440).

Almost surely, 210343234240 is an apocalyptic number.

10343234240 is a gapful number since it is divisible by the number (10) 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 10343234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550688640).

10343234240 is an abundant number, since it is smaller than the sum of its proper divisors (14758143040).

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

10343234240 is a wasteful number, since it uses less digits than its factorization.

10343234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10343234240 its reverse (4243234301), we get a palindrome (14586468541).

The spelling of 10343234240 in words is "ten billion, three hundred forty-three million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 151 160 166 302 320 332 415 604 664 755 830 1208 1328 1510 1660 2416 2579 2656 3020 3320 4832 5158 5312 6040 6640 9664 10316 12080 12533 12895 13280 20632 24160 25066 25790 26560 41264 48320 50132 51580 62665 82528 100264 103160 125330 165056 200528 206320 214057 250660 389429 401056 412640 428114 501320 778858 802112 825280 856228 1002640 1070285 1557716 1712456 1947145 2005280 2140570 3115432 3424912 3894290 4010560 4281140 6230864 6849824 7788580 8562280 12461728 13699648 15577160 17124560 24923456 31154320 32322607 34249120 62308640 64645214 68498240 124617280 129290428 161613035 258580856 323226070 517161712 646452140 1034323424 1292904280 2068646848 2585808560 5171617120 10343234240