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1814630034 = 2372231012657
BaseRepresentation
bin110110000101001…
…0000111010010010
311200110112202102210
41230022100322102
512204021130114
6500021452550
762653046400
oct15412207222
94613482383
101814630034
11851347448
12427871156
1322bc431a9
14133004470
15a9498259
hex6c290e92

1814630034 has 96 divisors (see below), whose sum is σ = 4450640256. Its totient is φ = 490828800.

The previous prime is 1814630033. The next prime is 1814630039. The reversal of 1814630034 is 4300364181.

It is a junction number, because it is equal to n+sod(n) for n = 1814629983 and 1814630010.

It is not an unprimeable number, because it can be changed into a prime (1814630033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681634 + ... + 684290.

It is an arithmetic number, because the mean of its divisors is an integer number (46360836).

Almost surely, 21814630034 is an apocalyptic number.

1814630034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814630034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225320128).

1814630034 is an abundant number, since it is smaller than the sum of its proper divisors (2636010222).

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

1814630034 is a wasteful number, since it uses less digits than its factorization.

1814630034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1814630034 is about 42598.4745501526. The cubic root of 1814630034 is about 1219.7271704705.

The spelling of 1814630034 in words is "one billion, eight hundred fourteen million, six hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 101 138 147 161 202 294 303 322 483 606 707 966 1127 1414 2121 2254 2323 2657 3381 4242 4646 4949 5314 6762 6969 7971 9898 13938 14847 15942 16261 18599 29694 32522 37198 48783 55797 61111 97566 111594 113827 122222 130193 183333 227654 260386 268357 341481 366666 390579 427777 536714 682962 781158 805071 855554 1283331 1610142 1878499 2566662 2994439 3756998 5635497 5988878 6172211 8983317 11270994 12344422 13149493 17966634 18516633 26298986 37033266 39448479 43205477 78896958 86410954 129616431 259232862 302438339 604876678 907315017 1814630034