Search a number
-
+
3134101432 = 237116183407
BaseRepresentation
bin1011101011001110…
…1001011110111000
322002102100211220211
42322303221132320
522404312221212
61234554400504
7140444264650
oct27263513670
98072324824
103134101432
111369133880
12735730134
133ac407ab7
1421a353360
151352329a7
hexbace97b8

3134101432 has 64 divisors (see below), whose sum is σ = 7446666240. Its totient is φ = 1201046400.

The previous prime is 3134101409. The next prime is 3134101501. The reversal of 3134101432 is 2341014313.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 4128 + ... + 79279.

It is an arithmetic number, because the mean of its divisors is an integer number (116354160).

Almost surely, 23134101432 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 3134101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723333120).

3134101432 is an abundant number, since it is smaller than the sum of its proper divisors (4312564808).

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

3134101432 is a wasteful number, since it uses less digits than its factorization.

3134101432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83492 (or 83488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3134101432 is about 55983.0459335681. The cubic root of 3134101432 is about 1463.4268399950.

Adding to 3134101432 its reverse (2341014313), we get a palindrome (5475115745).

The spelling of 3134101432 in words is "three billion, one hundred thirty-four million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 122 154 244 308 427 488 616 671 854 1342 1708 2684 3416 4697 5368 9394 18788 37576 83407 166814 333628 583849 667256 917477 1167698 1834954 2335396 3669908 4670792 5087827 6422339 7339816 10175654 12844678 20351308 25689356 35614789 40702616 51378712 55966097 71229578 111932194 142459156 223864388 284918312 391762679 447728776 783525358 1567050716 3134101432