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30000424432 = 2411253793701
BaseRepresentation
bin11011111100001010…
…100010010111110000
32212102210002110120211
4123330022202113300
5442420102040212
621440525113504
72111303254156
oct337412422760
985383073524
1030000424432
11117a5503a00
1259930b8894
132aa14b3344
1416485193d6
15ba8bae9a7
hex6fc2a25f0

30000424432 has 120 divisors (see below), whose sum is σ = 65937654720. Its totient is φ = 13206336000.

The previous prime is 30000424403. The next prime is 30000424481. The reversal of 30000424432 is 23442400003.

It is a super-2 number, since 2×300004244322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104182 + ... + 8107882.

It is an arithmetic number, because the mean of its divisors is an integer number (549480456).

Almost surely, 230000424432 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 30000424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32968827360).

30000424432 is an abundant number, since it is smaller than the sum of its proper divisors (35937230288).

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

30000424432 is a wasteful number, since it uses less digits than its factorization.

30000424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 30000424432 its reverse (23442400003), we get a palindrome (53442824435).

The spelling of 30000424432 in words is "thirty billion, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 79 88 106 121 158 176 212 242 316 424 484 583 632 848 869 968 1166 1264 1738 1936 2332 3476 3701 4187 4664 6413 6952 7402 8374 9328 9559 12826 13904 14804 16748 19118 25652 29608 33496 38236 40711 46057 51304 59216 66992 76472 81422 92114 102608 152944 162844 184228 196153 292379 325688 368456 392306 447821 506627 584758 651376 736912 784612 895642 1013254 1169516 1569224 1791284 2026508 2157683 2339032 3138448 3216169 3582568 4053016 4315366 4678064 6432338 7165136 8106032 8630732 12864676 15496087 17261464 23734513 25729352 30992174 34522928 35377859 47469026 51458704 61984348 70755718 94938052 123968696 141511436 170456957 189876104 247937392 283022872 340913914 379752208 566045744 681827828 1363655656 1875026527 2727311312 3750053054 7500106108 15000212216 30000424432