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1040430104 = 237412631723
BaseRepresentation
bin111110000000111…
…011010000011000
32200111202022210022
4332000323100120
54112322230404
6251124010012
734532336630
oct7600732030
92614668708
101040430104
1149432859a
12250530908
1313772471c
149c2736c0
156151a8be
hex3e03b418

1040430104 has 64 divisors (see below), whose sum is σ = 2293885440. Its totient is φ = 433117440.

The previous prime is 1040430067. The next prime is 1040430133. The reversal of 1040430104 is 4010340401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 602987 + ... + 604709.

It is an arithmetic number, because the mean of its divisors is an integer number (35841960).

Almost surely, 21040430104 is an apocalyptic number.

1040430104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146942720).

1040430104 is an abundant number, since it is smaller than the sum of its proper divisors (1253455336).

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

1040430104 is a wasteful number, since it uses less digits than its factorization.

1040430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1040430104 is about 32255.6987833158. The cubic root of 1040430104 is about 1013.2990524914.

Adding to 1040430104 its reverse (4010340401), we get a palindrome (5050770505).

The spelling of 1040430104 in words is "one billion, forty million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 263 287 328 526 574 1052 1148 1723 1841 2104 2296 3446 3682 6892 7364 10783 12061 13784 14728 21566 24122 43132 48244 70643 75481 86264 96488 141286 150962 282572 301924 453149 494501 565144 603848 906298 989002 1812596 1978004 3172043 3625192 3956008 6344086 12688172 18579109 25376344 37158218 74316436 130053763 148632872 260107526 520215052 1040430104