Search a number
-
+
1424234100 = 2235261223349
BaseRepresentation
bin101010011100100…
…0001011001110100
310200020221120220010
41110321001121310
510404100442400
6353154140220
750202535002
oct12471013164
93606846803
101424234100
11670a41183
12338b81670
131990b5193
14d721da72
1585080450
hex54e41674

1424234100 has 144 divisors (see below), whose sum is σ = 4219174400. Its totient is φ = 370828800.

The previous prime is 1424234059. The next prime is 1424234113. The reversal of 1424234100 is 14324241.

1424234100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 4080726 + ... + 4081074.

Almost surely, 21424234100 is an apocalyptic number.

1424234100 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 1424234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109587200).

1424234100 is an abundant number, since it is smaller than the sum of its proper divisors (2794940300).

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

1424234100 is a wasteful number, since it uses less digits than its factorization.

1424234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1424234100 is about 37739.0262195516. The cubic root of 1424234100 is about 1125.1069132961.

Adding to 1424234100 its reverse (14324241), we get a palindrome (1438558341).

The spelling of 1424234100 in words is "one billion, four hundred twenty-four million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 223 244 300 305 349 366 446 610 669 698 732 892 915 1047 1115 1220 1338 1396 1525 1745 1830 2094 2230 2676 3050 3345 3490 3660 4188 4460 4575 5235 5575 6100 6690 6980 8725 9150 10470 11150 13380 13603 16725 17450 18300 20940 21289 22300 26175 27206 33450 34900 40809 42578 52350 54412 63867 66900 68015 77827 81618 85156 104700 106445 127734 136030 155654 163236 204045 212890 233481 255468 272060 311308 319335 340075 389135 408090 425780 466962 532225 638670 680150 778270 816180 933924 1020225 1064450 1167405 1277340 1360300 1556540 1596675 1945675 2040450 2128900 2334810 3193350 3891350 4080900 4669620 4747447 5837025 6386700 7782700 9494894 11674050 14242341 18989788 23348100 23737235 28484682 47474470 56969364 71211705 94948940 118686175 142423410 237372350 284846820 356058525 474744700 712117050 1424234100