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343113213132 = 2232291033798419
BaseRepresentation
bin1001111111000110010…
…01000010010011001100
31012210122011001011210200
410333203021002103030
521110143440310012
6421342442533500
733534444122304
oct4774311022314
91183564034720
10343113213132
11122571511458
12565b7b07290
1326480b84401
141286cd86604
158dd264e3dc
hex4fe32424cc

343113213132 has 144 divisors (see below), whose sum is σ = 908430432000. Its totient is φ = 109053641088.

The previous prime is 343113213119. The next prime is 343113213133. The reversal of 343113213132 is 231312311343.

343113213132 is a `hidden beast` number, since 3 + 4 + 311 + 3 + 213 + 132 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 343113213096 and 343113213105.

It is not an unprimeable number, because it can be changed into a prime (343113213133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40750419 + ... + 40758837.

Almost surely, 2343113213132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343113213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454215216000).

343113213132 is an abundant number, since it is smaller than the sum of its proper divisors (565317218868).

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

343113213132 is a wasteful number, since it uses less digits than its factorization.

343113213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8935 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 343113213132 its reverse (231312311343), we get a palindrome (574425524475).

The spelling of 343113213132 in words is "three hundred forty-three billion, one hundred thirteen million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 103 116 174 206 261 309 348 379 412 522 618 758 927 1044 1137 1236 1516 1854 2274 2987 3411 3708 4548 5974 6822 8419 8961 10991 11948 13644 16838 17922 21982 25257 26883 32973 33676 35844 39037 43964 50514 53766 65946 75771 78074 98919 101028 107532 117111 131892 151542 156148 197838 234222 244151 303084 351333 395676 468444 488302 702666 732453 867157 976604 1132073 1405332 1464906 1734314 2197359 2264146 2601471 2929812 3190801 3396219 3468628 4394718 4528292 5202942 6381602 6792438 7804413 8789436 9572403 10188657 10405884 12763204 13584876 15608826 19144806 20377314 25147553 28717209 31217652 38289612 40754628 50295106 57434418 75442659 92533229 100590212 114868836 150885318 185066458 226327977 277599687 301770636 328652503 370132916 452655954 555199374 657305006 832799061 905311908 985957509 1110398748 1314610012 1665598122 1971915018 2957872527 3331196244 3943830036 5915745054 9530922587 11831490108 19061845174 28592767761 38123690348 57185535522 85778303283 114371071044 171556606566 343113213132