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30284922880 = 21453371097
BaseRepresentation
bin11100001101000111…
…110100000000000000
32220011121102111002101
4130031013310000000
5444010420013010
621525051000144
72121326411542
oct341507640000
986147374071
1030284922880
111193105a893
125a52439054
132b18414414
141674215692
15bc3b5a73a
hex70d1f4000

30284922880 has 120 divisors (see below), whose sum is σ = 72963720648. Its totient is φ = 12067012608.

The previous prime is 30284922859. The next prime is 30284922883. The reversal of 30284922880 is 8822948203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 247873536 + 30037049344 = 15744^2 + 173312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30284922880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30284922883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27606492 + ... + 27607588.

Almost surely, 230284922880 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 30284922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481860324).

30284922880 is an abundant number, since it is smaller than the sum of its proper divisors (42678797768).

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

30284922880 is an equidigital number, since it uses as much as digits as its factorization.

30284922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 30284922880 in words is "thirty billion, two hundred eighty-four million, nine hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 337 512 640 674 1024 1097 1280 1348 1685 2048 2194 2560 2696 3370 4096 4388 5120 5392 5485 6740 8192 8776 10240 10784 10970 13480 16384 17552 20480 21568 21940 26960 35104 40960 43136 43880 53920 70208 81920 86272 87760 107840 140416 172544 175520 215680 280832 345088 351040 369689 431360 561664 690176 702080 739378 862720 1123328 1380352 1404160 1478756 1725440 1848445 2246656 2760704 2808320 2957512 3450880 3696890 4493312 5521408 5616640 5915024 6901760 7393780 8986624 11233280 11830048 13803520 14787560 17973248 22466560 23660096 27607040 29575120 44933120 47320192 59150240 89866240 94640384 118300480 189280768 236600960 378561536 473201920 757123072 946403840 1514246144 1892807680 3028492288 3785615360 6056984576 7571230720 15142461440 30284922880