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12340240 = 2451137379
BaseRepresentation
bin101111000100…
…110000010000
3212012221121221
4233010300100
511124341430
61120254424
7206614243
oct57046020
925187557
1012340240
116a69450
124171414
132730b23
1418d325a
15113b57a
hexbc4c10

12340240 has 80 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 4354560.

The previous prime is 12340199. The next prime is 12340271. The reversal of 12340240 is 4204321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32371 + ... + 32749.

It is an arithmetic number, because the mean of its divisors is an integer number (402876).

Almost surely, 212340240 is an apocalyptic number.

12340240 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 12340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

12340240 is an abundant number, since it is smaller than the sum of its proper divisors (19889840).

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

12340240 is a wasteful number, since it uses less digits than its factorization.

12340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12340240 is about 3512.8677743405. The cubic root of 12340240 is about 231.0864789932.

Adding to 12340240 its reverse (4204321), we get a palindrome (16544561).

The spelling of 12340240 in words is "twelve million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 379 407 440 592 740 758 814 880 1480 1516 1628 1895 2035 2960 3032 3256 3790 4070 4169 6064 6512 7580 8140 8338 14023 15160 16280 16676 20845 28046 30320 32560 33352 41690 56092 66704 70115 83380 112184 140230 154253 166760 224368 280460 308506 333520 560920 617012 771265 1121840 1234024 1542530 2468048 3085060 6170120 12340240