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114212340 = 2232511371559
BaseRepresentation
bin1101100111010…
…11110111110100
321221220120212200
412303223313310
5213214243330
615155544500
72554534404
oct663536764
9257816780
10114212340
1159519470
12322bb130
131a87b788
1411250804
15a060a60
hex6cebdf4

114212340 has 144 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 26922240.

The previous prime is 114212327. The next prime is 114212387. The reversal of 114212340 is 43212411.

114212340 is a `hidden beast` number, since 11 + 421 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 72481 + ... + 74039.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2114212340 is an apocalyptic number.

114212340 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 114212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

114212340 is an abundant number, since it is smaller than the sum of its proper divisors (274190220).

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

114212340 is a wasteful number, since it uses less digits than its factorization.

114212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114212340 is about 10687.0173575231. The cubic root of 114212340 is about 485.1816232655.

Adding to 114212340 its reverse (43212411), we get a palindrome (157424751).

The spelling of 114212340 in words is "one hundred fourteen million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1559 1628 1665 1980 2035 2220 2442 3118 3330 3663 4070 4677 4884 6105 6236 6660 7326 7795 8140 9354 12210 14031 14652 15590 17149 18315 18708 23385 24420 28062 31180 34298 36630 46770 51447 56124 57683 68596 70155 73260 85745 93540 102894 115366 140310 154341 171490 173049 205788 230732 257235 280620 288415 308682 342980 346098 514470 519147 576830 617364 634513 692196 771705 865245 1028940 1038294 1153660 1269026 1543410 1730490 1903539 2076588 2538052 2595735 3086820 3172565 3460980 3807078 5191470 5710617 6345130 7614156 9517695 10382940 11421234 12690260 19035390 22842468 28553085 38070780 57106170 114212340