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3129134904 = 2332721994457
BaseRepresentation
bin1011101010000010…
…1100111100111000
322002002000112010100
42322200230330320
522402024304104
61234300115400
7140354131200
oct27240547470
98062015110
103129134904
111366351405
12733b35b60
133ab38931c
1421981d400
15134aa1139
hexba82cf38

3129134904 has 144 divisors (see below), whose sum is σ = 9910134000. Its totient is φ = 889346304.

The previous prime is 3129134863. The next prime is 3129134927. The reversal of 3129134904 is 4094319213.

3129134904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 699844 + ... + 704300.

It is an arithmetic number, because the mean of its divisors is an integer number (68820375).

Almost surely, 23129134904 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 3129134904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955067000).

3129134904 is an abundant number, since it is smaller than the sum of its proper divisors (6780999096).

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

3129134904 is a wasteful number, since it uses less digits than its factorization.

3129134904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3129134904 is about 55938.6709173538. The cubic root of 3129134904 is about 1462.6534133172.

The spelling of 3129134904 in words is "three billion, one hundred twenty-nine million, one hundred thirty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 199 252 294 392 398 441 504 588 597 796 882 1176 1194 1393 1592 1764 1791 2388 2786 3528 3582 4179 4457 4776 5572 7164 8358 8914 9751 11144 12537 13371 14328 16716 17828 19502 25074 26742 29253 31199 33432 35656 39004 40113 50148 53484 58506 62398 78008 80226 87759 93597 100296 106968 117012 124796 160452 175518 187194 218393 234024 249592 280791 320904 351036 374388 436786 561582 655179 702072 748776 873572 886943 1123164 1310358 1747144 1773886 1965537 2246328 2620716 2660829 3547772 3931074 5241432 5321658 6208601 7095544 7862148 7982487 10643316 12417202 15724296 15964974 18625803 21286632 24834404 31929948 37251606 43460207 49668808 55877409 63859896 74503212 86920414 111754818 130380621 149006424 173840828 223509636 260761242 347681656 391141863 447019272 521522484 782283726 1043044968 1564567452 3129134904