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1234829442 = 2371121714293
BaseRepresentation
bin100100110011010…
…0000000010000010
310012001112211112210
41021212200002002
510012104020232
6322310402550
742412606560
oct11146400202
93161484483
101234829442
11584035700
122a5660456
13168a9a712
14b9dd8a30
157361a5cc
hex499a0082

1234829442 has 96 divisors (see below), whose sum is σ = 3285104256. Its totient is φ = 301847040.

The previous prime is 1234829441. The next prime is 1234829443. The reversal of 1234829442 is 2449284321.

It is an interprime number because it is at equal distance from previous prime (1234829441) and next prime (1234829443).

It is a self number, because there is not a number n which added to its sum of digits gives 1234829442.

It is not an unprimeable number, because it can be changed into a prime (1234829441) 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, 79248 + ... + 93540.

It is an arithmetic number, because the mean of its divisors is an integer number (34219836).

Almost surely, 21234829442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234829442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642552128).

1234829442 is an abundant number, since it is smaller than the sum of its proper divisors (2050274814).

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

1234829442 is a wasteful number, since it uses less digits than its factorization.

1234829442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14333 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 1234829442 is about 35140.1400395616. The cubic root of 1234829442 is about 1072.8417319961.

The spelling of 1234829442 in words is "one billion, two hundred thirty-four million, eight hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 121 154 187 231 238 242 357 363 374 462 561 714 726 847 1122 1309 1694 2057 2541 2618 3927 4114 5082 6171 7854 12342 14293 14399 28586 28798 42879 43197 85758 86394 100051 157223 200102 242981 300153 314446 471669 485962 600306 728943 943338 1100561 1457886 1700867 1729453 2201122 2672791 3301683 3401734 3458906 5102601 5188359 5345582 6603366 8018373 10205202 10376718 12106171 16036746 18709537 24212342 29400701 36318513 37419074 56128611 58801402 72637026 88202103 112257222 176404206 205804907 411609814 617414721 1234829442