Search a number
-
+
1534140342 = 232723796701
BaseRepresentation
bin101101101110001…
…0001111110110110
310221220202101220200
41123130101332312
511120214442332
6412121541330
753005656240
oct13334217666
93856671820
101534140342
11717a89389
12369944846
131b5ab6967
14107a6d090
158ea4017c
hex5b711fb6

1534140342 has 96 divisors (see below), whose sum is σ = 4014766080. Its totient is φ = 413899200.

The previous prime is 1534140271. The next prime is 1534140371. The reversal of 1534140342 is 2430414351.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225592 + ... + 232292.

It is an arithmetic number, because the mean of its divisors is an integer number (41820480).

Almost surely, 21534140342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534140342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007383040).

1534140342 is an abundant number, since it is smaller than the sum of its proper divisors (2480625738).

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

1534140342 is a wasteful number, since it uses less digits than its factorization.

1534140342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1534140342 is about 39168.1036303776. The cubic root of 1534140342 is about 1153.3338274098. Note that the first 3 decimals are identical.

Adding to 1534140342 its reverse (2430414351), we get a palindrome (3964554693).

The spelling of 1534140342 in words is "one billion, five hundred thirty-four million, one hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 79 126 138 158 161 207 237 322 414 474 483 553 711 966 1106 1422 1449 1659 1817 2898 3318 3634 4977 5451 6701 9954 10902 12719 13402 16353 20103 25438 32706 38157 40206 46907 60309 76314 93814 114471 120618 140721 154123 228942 281442 308246 422163 462369 529379 844326 924738 1058758 1078861 1387107 1588137 2157722 2774214 3176274 3236583 3705653 4764411 6473166 7411306 9528822 9709749 11116959 12175717 19419498 22233918 24351434 33350877 36527151 66701754 73054302 85230019 109581453 170460038 219162906 255690057 511380114 767070171 1534140342