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3000131424 = 253221434861
BaseRepresentation
bin1011001011010010…
…0101111101100000
321202002021110121200
42302310211331200
522121013201144
61213411121200
7134226460563
oct26264457540
97662243550
103000131424
1112aa550164
126b88a3200
1338a72c2c4
1420663c4da
151285bcc69
hexb2d25f60

3000131424 has 72 divisors (see below), whose sum is σ = 8537360832. Its totient is φ = 999371520.

The previous prime is 3000131411. The next prime is 3000131437. The reversal of 3000131424 is 4241310003.

3000131424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3000131411) and next prime (3000131437).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30001314242 = 18001577122544535552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000131397 and 3000131406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614754 + ... + 619614.

It is an arithmetic number, because the mean of its divisors is an integer number (118574456).

Almost surely, 23000131424 is an apocalyptic number.

It is an amenable number.

3000131424 is an abundant number, since it is smaller than the sum of its proper divisors (5537229408).

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

3000131424 is a wasteful number, since it uses less digits than its factorization.

3000131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3000131424 is about 54773.4554688674. The cubic root of 3000131424 is about 1442.2706306896.

Adding to 3000131424 its reverse (4241310003), we get a palindrome (7241441427).

It can be divided in two parts, 30001 and 31424, that added together give a triangular number (61425 = T350).

The spelling of 3000131424 in words is "three billion, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2143 4286 4861 6429 8572 9722 12858 14583 17144 19287 19444 25716 29166 34288 38574 38888 43749 51432 58332 68576 77148 77776 87498 102864 116664 154296 155552 174996 205728 233328 308592 349992 466656 617184 699984 1399968 10417123 20834246 31251369 41668492 62502738 83336984 93754107 125005476 166673968 187508214 250010952 333347936 375016428 500021904 750032856 1000043808 1500065712 3000131424