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3129241404 = 22319293712791
BaseRepresentation
bin1011101010000100…
…0110111100111100
322002002012221012210
42322201012330330
522402041211104
61234302300420
7140355053532
oct27241067474
98062187183
103129241404
111366414423
12733b87710
133ab3c5943
1421984a152
15134ac2989
hexba846f3c

3129241404 has 96 divisors (see below), whose sum is σ = 8166412800. Its totient is φ = 928247040.

The previous prime is 3129241387. The next prime is 3129241417. The reversal of 3129241404 is 4041429213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238249 + ... + 251039.

It is an arithmetic number, because the mean of its divisors is an integer number (85066800).

Almost surely, 23129241404 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 3129241404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083206400).

3129241404 is an abundant number, since it is smaller than the sum of its proper divisors (5037171396).

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

3129241404 is a wasteful number, since it uses less digits than its factorization.

3129241404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3129241404 is about 55939.6228446349. The cubic root of 3129241404 is about 1462.6700069153.

The spelling of 3129241404 in words is "three billion, one hundred twenty-nine million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 29 37 38 57 58 74 76 87 111 114 116 148 174 222 228 348 444 551 703 1073 1102 1406 1653 2109 2146 2204 2812 3219 3306 4218 4292 6438 6612 8436 12791 12876 20387 25582 38373 40774 51164 61161 76746 81548 122322 153492 243029 244644 370939 473267 486058 729087 741878 946534 972116 1112817 1419801 1458174 1483756 1893068 2225634 2839602 2916348 4451268 5679204 7047841 8992073 13724743 14095682 17984146 21143523 26976219 27449486 28191364 35968292 41174229 42287046 53952438 54898972 82348458 84574092 107904876 164696916 260770117 521540234 782310351 1043080468 1564620702 3129241404