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306741605004 = 2232318310730949
BaseRepresentation
bin1000111011010110011…
…10010111001010001100
31002022202100110001020100
410131223032113022030
520011201322330004
6352525401051100
731106225423412
oct4355316271214
91068670401210
10306741605004
111090a770398a
124b547186a90
1322c05742cb3
1410bbc6392b2
157ea4486739
hex476b39728c

306741605004 has 144 divisors (see below), whose sum is σ = 817626700800. Its totient is φ = 96840005760.

The previous prime is 306741604999. The next prime is 306741605011. The reversal of 306741605004 is 400506147603.

It is a happy number.

306741605004 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 41 + 605 + 0 + 0 + 4 = 666.

306741605004 is digitally balanced in base 4, 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 self number, because there is not a number n which added to its sum of digits gives 306741605004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9895722 + ... + 9926670.

It is an arithmetic number, because the mean of its divisors is an integer number (5677963200).

Almost surely, 2306741605004 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 306741605004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408813350400).

306741605004 is an abundant number, since it is smaller than the sum of its proper divisors (510885095796).

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

306741605004 is a wasteful number, since it uses less digits than its factorization.

306741605004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31180 (or 31175 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 306741605004 in words is "three hundred six billion, seven hundred forty-one million, six hundred five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 107 124 166 186 214 249 279 321 332 372 428 498 558 642 747 963 996 1116 1284 1494 1926 2573 2988 3317 3852 5146 6634 7719 8881 9951 10292 13268 15438 17762 19902 23157 26643 29853 30876 30949 35524 39804 46314 53286 59706 61898 79929 92628 92847 106572 119412 123796 159858 185694 275311 278541 319716 371388 550622 557082 825933 959419 1101244 1114164 1651866 1918838 2477799 2568767 2878257 3303732 3311543 3837676 4955598 5137534 5756514 6623086 7706301 8634771 9911196 9934629 10275068 11513028 13246172 15412602 17269542 19869258 23118903 29803887 30825204 34539084 39738516 46237806 59607774 79631777 92475612 102657833 119215548 159263554 205315666 238895331 274858069 307973499 318527108 410631332 477790662 549716138 615946998 716685993 824574207 923920497 955581324 1099432276 1231893996 1433371986 1649148414 1847840994 2473722621 2866743972 3298296828 3695681988 4947445242 8520600139 9894890484 17041200278 25561800417 34082400556 51123600834 76685401251 102247201668 153370802502 306741605004