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30298933386 = 234617397433
BaseRepresentation
bin11100001101111101…
…010000100010001010
32220012120210021220000
4130031331100202022
5444023011332021
621530311143430
72121556453521
oct341575204212
986176707800
1030298933386
1111938a5a117
125a57074b76
132b1b2ab567
1416760214b8
15bc4ec6b26
hex70df5088a

30298933386 has 160 divisors (see below), whose sum is σ = 70834664208. Its totient is φ = 9674588160.

The previous prime is 30298933361. The next prime is 30298933393. The reversal of 30298933386 is 68333989203.

30298933386 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2152496025 + 28146437361 = 46395^2 + 167769^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69974226 + ... + 69974658.

Almost surely, 230298933386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30298933386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35417332104).

30298933386 is an abundant number, since it is smaller than the sum of its proper divisors (40535730822).

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

30298933386 is a wasteful number, since it uses less digits than its factorization.

30298933386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 30298933386 in words is "thirty billion, two hundred ninety-eight million, nine hundred thirty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 61 73 81 97 122 146 162 183 194 219 291 366 433 438 549 582 657 866 873 1098 1299 1314 1647 1746 1971 2598 2619 3294 3897 3942 4453 4941 5238 5913 5917 7081 7794 7857 8906 9882 11691 11826 11834 13359 14162 15714 17751 21243 23382 26413 26718 31609 35073 35502 40077 42001 42486 52826 53253 63218 63729 70146 79239 80154 84002 94827 106506 120231 126003 127458 158478 159759 189654 191187 237717 240462 252006 284481 319518 360693 378009 382374 431941 475434 479277 568962 573561 713151 721386 756018 853443 863882 958554 1134027 1147122 1295823 1426302 1706886 1928149 2139453 2268054 2560329 2562061 2591646 3066073 3402081 3856298 3887469 4278906 5120658 5124122 5784447 6132146 6804162 7686183 7774938 9198219 11568894 11662407 15372366 17353341 18396438 23058549 23324814 27594657 34706682 34987221 46117098 52060023 55189314 69175647 69974442 82783971 104120046 138351294 156180069 165567942 187030453 207526941 248351913 312360138 374060906 415053882 496703826 561091359 1122182718 1683274077 3366548154 5049822231 10099644462 15149466693 30298933386