Search a number
-
+
3057667704 = 233471351853
BaseRepresentation
bin1011011001000000…
…0100111001111000
321220002112121120000
42312100010321320
522230230331304
61223224233000
7135525514050
oct26620047170
97802477500
103057667704
111329a79003
1271400b760
13399625a40
14210138560
1512d685939
hexb6404e78

3057667704 has 160 divisors (see below), whose sum is σ = 10540881120. Its totient is φ = 806402304.

The previous prime is 3057667699. The next prime is 3057667727. The reversal of 3057667704 is 4077667503.

3057667704 is a `hidden beast` number, since 3 + 0 + 576 + 6 + 7 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3057667704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33042 + ... + 84894.

It is an arithmetic number, because the mean of its divisors is an integer number (65880507).

Almost surely, 23057667704 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 3057667704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270440560).

3057667704 is an abundant number, since it is smaller than the sum of its proper divisors (7483213416).

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

3057667704 is a wasteful number, since it uses less digits than its factorization.

3057667704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51891 (or 51878 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 3057667704 is about 55296.1816403267. The cubic root of 3057667704 is about 1451.4322279837.

It can be divided in two parts, 3057 and 667704, that added together give a square (670761 = 8192).

The spelling of 3057667704 in words is "three billion, fifty-seven million, six hundred sixty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 51853 58968 103706 155559 207412 311118 362971 414824 466677 622236 674089 725942 933354 1088913 1244472 1348178 1400031 1451884 1866708 2022267 2177826 2696356 2800062 2903768 3266739 3733416 4044534 4200093 4355652 4718623 5392712 5600124 6066801 6533478 8089068 8400186 8711304 9437246 9800217 11200248 12133602 13066956 14155869 16178136 16800372 18200403 18874492 19600434 24267204 26133912 28311738 29400651 33600744 36400806 37748984 39200868 42467607 48534408 54601209 56623476 58801302 72801612 78401736 84935214 109202418 113246952 117602604 127402821 145603224 169870428 218404836 235205208 254805642 339740856 382208463 436809672 509611284 764416926 1019222568 1528833852 3057667704