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3058405812 = 22327113135591
BaseRepresentation
bin1011011001001011…
…1001000110110100
321220010221010001100
42312102321012310
522230422441222
61223252130100
7135535010010
oct26622710664
97803833040
103058405812
11132a432610
12714306930
133998239a7
1421028b540
1512d77e4ac
hexb64b91b4

3058405812 has 144 divisors (see below), whose sum is σ = 9949814784. Its totient is φ = 768744000.

The previous prime is 3058405807. The next prime is 3058405817. The reversal of 3058405812 is 2185048503.

It is a happy number.

3058405812 is a `hidden beast` number, since 30 + 5 + 8 + 40 + 581 + 2 = 666.

3058405812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3058405807) and next prime (3058405817).

It is a super-2 number, since 2×30584058122 = 18707692221750758688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058405817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68137 + ... + 103727.

It is an arithmetic number, because the mean of its divisors is an integer number (69095936).

Almost surely, 23058405812 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 3058405812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974907392).

3058405812 is an abundant number, since it is smaller than the sum of its proper divisors (6891408972).

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

3058405812 is a wasteful number, since it uses less digits than its factorization.

3058405812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35650 (or 35645 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3058405812 is about 55302.8553693207. The cubic root of 3058405812 is about 1451.5490084463.

The spelling of 3058405812 in words is "three billion, fifty-eight million, four hundred five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 35591 42966 71182 85932 106773 142364 213546 249137 320319 391501 427092 498274 640638 747411 783002 996548 1103321 1174503 1281276 1494822 1566004 2206642 2242233 2349006 2740507 2989644 3309963 3523509 4413284 4484466 4698012 5481014 6619926 7047018 7723247 8221521 8968932 9929889 10962028 12136531 13239852 14094036 15446494 16443042 19859778 23169741 24273062 24664563 30892988 32886084 36409593 39719556 46339482 48546124 49329126 69509223 72819186 84955717 92678964 98658252 109228779 139018446 145638372 169911434 218457558 254867151 278036892 339822868 436915116 509734302 764601453 1019468604 1529202906 3058405812