Search a number
-
+
245234000412 = 223417231935793
BaseRepresentation
bin1110010001100100010…
…1011110001000011100
3212102222210000222210000
43210121011132020130
513004214401003122
6304354155414300
723501061416142
oct3443105361034
9772883028700
10245234000412
1195004222215
123b640454390
131a1828603ab
14bc25863592
1565a46d60ac
hex391915e21c

245234000412 has 120 divisors (see below), whose sum is σ = 708314767776. Its totient is φ = 73591068672.

The previous prime is 245234000393. The next prime is 245234000419. The reversal of 245234000412 is 214000432542.

245234000412 is a `hidden beast` number, since 245 + 2 + 3 + 4 + 0 + 0 + 0 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245234000419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 841213 + ... + 1094580.

Almost surely, 2245234000412 is an apocalyptic number.

It is an amenable number.

245234000412 is an abundant number, since it is smaller than the sum of its proper divisors (463080767364).

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

245234000412 is a wasteful number, since it uses less digits than its factorization.

245234000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935849 (or 1935838 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245234000412 its reverse (214000432542), we get a palindrome (459234432954).

The spelling of 245234000412 in words is "two hundred forty-five billion, two hundred thirty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 81 92 102 108 138 153 162 204 207 276 306 324 391 414 459 612 621 782 828 918 1173 1242 1377 1564 1836 1863 2346 2484 2754 3519 3726 4692 5508 7038 7452 10557 14076 21114 31671 42228 63342 126684 1935793 3871586 5807379 7743172 11614758 17422137 23229516 32908481 34844274 44523239 52266411 65816962 69688548 89046478 98725443 104532822 131633924 133569717 156799233 178092956 197450886 209065644 267139434 296176329 313598466 394901772 400709151 534278868 592352658 627196932 756895063 801418302 888528987 1184705316 1202127453 1513790126 1602836604 1777057974 2270685189 2404254906 2665586961 3027580252 3554115948 3606382359 4541370378 4808509812 5331173922 6812055567 7212764718 9082740756 10662347844 13624111134 14425529436 20436166701 27248222268 40872333402 61308500103 81744666804 122617000206 245234000412