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1234123040 = 25510176369
BaseRepresentation
bin100100110001111…
…0011100100100000
310012000012221112202
41021203303210200
510011413414130
6322243312332
742403605233
oct11143634440
93160187482
101234123040
115836a29a7
122a537b6a8
131688b1027
14b9c9341a
157352b145
hex498f3920

1234123040 has 48 divisors (see below), whose sum is σ = 2944521720. Its totient is φ = 488755200.

The previous prime is 1234123013. The next prime is 1234123067. The reversal of 1234123040 is 403214321.

It is an interprime number because it is at equal distance from previous prime (1234123013) and next prime (1234123067).

It can be written as a sum of positive squares in 4 ways, for example, as 1128691216 + 105431824 = 33596^2 + 10268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 22025 + ... + 54344.

Almost surely, 21234123040 is an apocalyptic number.

1234123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234123040 is an abundant number, since it is smaller than the sum of its proper divisors (1710398680).

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

1234123040 is a wasteful number, since it uses less digits than its factorization.

1234123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76485 (or 76477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1234123040 is about 35130.0873895867. The cubic root of 1234123040 is about 1072.6371147753.

Adding to 1234123040 its reverse (403214321), we get a palindrome (1637337361).

The spelling of 1234123040 in words is "one billion, two hundred thirty-four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 76369 152738 305476 381845 610952 763690 1221904 1527380 2443808 3054760 6109520 7713269 12219040 15426538 30853076 38566345 61706152 77132690 123412304 154265380 246824608 308530760 617061520 1234123040