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3134432124 = 2232417926881
BaseRepresentation
bin1011101011010011…
…1010001101111100
322002102222122112200
42322310322031330
522404403311444
61235005431500
7140450143035
oct27264721574
98072878480
103134432124
11136933a27a
1273586b590
133ac4c2485
1421a3dba8c
1513529a969
hexbad3a37c

3134432124 has 72 divisors (see below), whose sum is σ = 8219440320. Its totient is φ = 1006387200.

The previous prime is 3134432107. The next prime is 3134432141. The reversal of 3134432124 is 4212344313.

3134432124 is a `hidden beast` number, since 3 + 1 + 3 + 443 + 212 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3134432107) and next prime (3134432141).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 103164 + ... + 130044.

Almost surely, 23134432124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109720160).

3134432124 is an abundant number, since it is smaller than the sum of its proper divisors (5085008196).

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

3134432124 is a wasteful number, since it uses less digits than its factorization.

3134432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27011 (or 27006 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3134432124 is about 55985.9993569821. Note that the first 3 decimals coincide. The cubic root of 3134432124 is about 1463.4783089236.

Adding to 3134432124 its reverse (4212344313), we get a palindrome (7346776437).

The spelling of 3134432124 in words is "three billion, one hundred thirty-four million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 79 82 123 158 164 237 246 316 369 474 492 711 738 948 1422 1476 2844 3239 6478 9717 12956 19434 26881 29151 38868 53762 58302 80643 107524 116604 161286 241929 322572 483858 967716 1102121 2123599 2204242 3306363 4247198 4408484 6370797 6612726 8494396 9919089 12741594 13225452 19112391 19838178 25483188 38224782 39676356 76449564 87067559 174135118 261202677 348270236 522405354 783608031 1044810708 1567216062 3134432124