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1331234440 = 235109305329
BaseRepresentation
bin100111101011001…
…0000011010001000
310102202221201100021
41033112100122020
510211244000230
6340032550224
744663206654
oct11726203210
93382851307
101331234440
116234a1158
123119b2374
13182a52ab3
14c8b31a64
157bd0ec7a
hex4f590688

1331234440 has 32 divisors (see below), whose sum is σ = 3022767000. Its totient is φ = 527606784.

The previous prime is 1331234381. The next prime is 1331234543. The reversal of 1331234440 is 444321331.

It can be written as a sum of positive squares in 4 ways, for example, as 1330936324 + 298116 = 36482^2 + 546^2 .

It is a super-2 number, since 2×13312344402 = 3544370268484227200, which contains 22 as substring.

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, 148305 + ... + 157024.

Almost surely, 21331234440 is an apocalyptic number.

1331234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331234440 is an abundant number, since it is smaller than the sum of its proper divisors (1691532560).

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

1331234440 is a wasteful number, since it uses less digits than its factorization.

1331234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305449 (or 305445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1331234440 is about 36486.0855669665. The cubic root of 1331234440 is about 1100.0645802305.

Adding to 1331234440 its reverse (444321331), we get a palindrome (1775555771).

The spelling of 1331234440 in words is "one billion, three hundred thirty-one million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 305329 610658 1221316 1526645 2442632 3053290 6106580 12213160 33280861 66561722 133123444 166404305 266246888 332808610 665617220 1331234440