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30328337976 = 23353173283487
BaseRepresentation
bin11100001111101101…
…011011011000111000
32220021122010012101220
4130033231123120320
5444103023303401
621533241312040
72122364422266
oct341755333070
986248105356
1030328337976
1111953613232
125a64a95620
132b24405521
141679cb7436
15bc7884336
hex70fb5b638

30328337976 has 128 divisors (see below), whose sum is σ = 78132625920. Its totient is φ = 9806344704.

The previous prime is 30328337971. The next prime is 30328337981. The reversal of 30328337976 is 67973382303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30328337971) and next prime (30328337981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30328337971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62275605 + ... + 62276091.

It is an arithmetic number, because the mean of its divisors is an integer number (610411140).

Almost surely, 230328337976 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 30328337976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39066312960).

30328337976 is an abundant number, since it is smaller than the sum of its proper divisors (47804287944).

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

30328337976 is a wasteful number, since it uses less digits than its factorization.

30328337976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 51.

The spelling of 30328337976 in words is "thirty billion, three hundred twenty-eight million, three hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 283 318 346 424 487 519 566 636 692 849 974 1038 1132 1272 1384 1461 1698 1948 2076 2264 2922 3396 3896 4152 5844 6792 9169 11688 14999 18338 25811 27507 29998 36676 44997 48959 51622 55014 59996 73352 77433 84251 89994 97918 103244 110028 119992 137821 146877 154866 168502 179988 195836 206488 220056 252753 275642 293754 309732 337004 359976 391672 413463 505506 551284 587508 619464 674008 826926 1011012 1102568 1175016 1653852 2022024 2594827 3307704 4465303 5189654 7304513 7784481 8930606 10379308 13395909 14609026 15568962 17861212 20758616 21913539 23843033 26791818 29218052 31137924 35722424 43827078 47686066 53583636 58436104 62275848 71529099 87654156 95372132 107167272 143058198 175308312 190744264 286116396 572232792 1263680749 2527361498 3791042247 5054722996 7582084494 10109445992 15164168988 30328337976