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2413214034 = 2372113124071
BaseRepresentation
bin1000111111010110…
…1011100101010010
320020011212222022120
42033311223211102
514420240322114
61035243315110
7113541660300
oct21765534522
96204788276
102413214034
111029218470
1257421ba96
132c5c643ca
1418c6dd270
15e1cd65a9
hex8fd6b952

2413214034 has 96 divisors (see below), whose sum is σ = 6322655232. Its totient is φ = 606564000.

The previous prime is 2413214029. The next prime is 2413214053. The reversal of 2413214034 is 4304123142.

It is a junction number, because it is equal to n+sod(n) for n = 2413213995 and 2413214013.

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, 88219 + ... + 112289.

It is an arithmetic number, because the mean of its divisors is an integer number (65860992).

Almost surely, 22413214034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413214034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161327616).

2413214034 is an abundant number, since it is smaller than the sum of its proper divisors (3909441198).

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

2413214034 is a wasteful number, since it uses less digits than its factorization.

2413214034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24132 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2413214034 is about 49124.4748979569. The cubic root of 2413214034 is about 1341.3186014135.

Adding to 2413214034 its reverse (4304123142), we get a palindrome (6717337176).

The spelling of 2413214034 in words is "two billion, four hundred thirteen million, two hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 4557 4774 7161 9114 14322 16709 24071 33418 48142 50127 72213 100254 144426 168497 264781 336994 505491 529562 746201 794343 1010982 1179479 1492402 1588686 1853467 2238603 2358958 3538437 3706934 4477206 5223407 5560401 7076874 8208211 10446814 11120802 12974269 15670221 16416422 24624633 25948538 31340442 36563849 38922807 49249266 57457477 73127698 77845614 109691547 114914954 172372431 219383094 344744862 402202339 804404678 1206607017 2413214034