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30440043400 = 2352132900593
BaseRepresentation
bin11100010110010111…
…100011001110001000
32220120102022102102211
4130112113203032020
5444320122342100
621552311434504
72125222046134
oct342627431610
986512272384
1030440043400
1111a0067a168
125a96385a34
132b415b6c00
14168aa743c4
15bd259c1ba
hex7165e3388

30440043400 has 72 divisors (see below), whose sum is σ = 76636046430. Its totient is φ = 11239388160.

The previous prime is 30440043371. The next prime is 30440043419. The reversal of 30440043400 is 434004403.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1385477284 + 29054566116 = 37222^2 + 170454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 416497 + ... + 484096.

Almost surely, 230440043400 is an apocalyptic number.

It is an amenable number.

30440043400 is an abundant number, since it is smaller than the sum of its proper divisors (46196003030).

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

30440043400 is a wasteful number, since it uses less digits than its factorization.

30440043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900635 (or 900613 counting only the distinct ones).

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

Adding to 30440043400 its reverse (434004403), we get a palindrome (30874047803).

The spelling of 30440043400 in words is "thirty billion, four hundred forty million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 900593 1801186 3602372 4502965 7204744 9005930 11707709 18011860 22514825 23415418 36023720 45029650 46830836 58538545 90059300 93661672 117077090 152200217 180118600 234154180 292692725 304400434 468308360 585385450 608800868 761001085 1170770900 1217601736 1522002170 2341541800 3044004340 3805005425 6088008680 7610010850 15220021700 30440043400