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340244111100 = 223522935716779
BaseRepresentation
bin1001111001110000010…
…00010001111011111100
31012112020012022200201110
410330320020101323330
521033304443023400
6420150032042020
733403365140325
oct4747010217374
91175205280643
10340244111100
11121329a26653
1255b37093310
13261146412ba
1412679cd544c
158cb5814e50
hex4f38211efc

340244111100 has 144 divisors (see below), whose sum is σ = 989675406720. Its totient is φ = 90250425600.

The previous prime is 340244111099. The next prime is 340244111147. The reversal of 340244111100 is 1111442043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50187511 + ... + 50194289.

It is an arithmetic number, because the mean of its divisors is an integer number (6872745880).

Almost surely, 2340244111100 is an apocalyptic number.

340244111100 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 340244111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494837703360).

340244111100 is an abundant number, since it is smaller than the sum of its proper divisors (649431295620).

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

340244111100 is a wasteful number, since it uses less digits than its factorization.

340244111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 340244111100 its reverse (1111442043), we get a palindrome (341355553143).

The spelling of 340244111100 in words is "three hundred forty billion, two hundred forty-four million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 293 300 571 586 879 1142 1172 1465 1713 1758 2284 2855 2930 3426 3516 4395 5710 5860 6779 6852 7325 8565 8790 11420 13558 14275 14650 17130 17580 20337 21975 27116 28550 29300 33895 34260 40674 42825 43950 57100 67790 81348 85650 87900 101685 135580 167303 169475 171300 203370 334606 338950 406740 501909 508425 669212 677900 836515 1003818 1016850 1673030 1986247 2007636 2033700 2509545 3346060 3870809 3972494 4182575 5019090 5958741 7741618 7944988 8365150 9931235 10038180 11612427 11917482 12547725 15483236 16730300 19354045 19862470 23224854 23834964 25095450 29793705 38708090 39724940 46449708 49656175 50190900 58062135 59587410 77416180 96770225 99312350 116124270 119174820 148968525 193540450 198624700 232248540 290310675 297937050 387080900 580621350 595874100 1134147037 1161242700 2268294074 3402441111 4536588148 5670735185 6804882222 11341470370 13609764444 17012205555 22682940740 28353675925 34024411110 56707351850 68048822220 85061027775 113414703700 170122055550 340244111100