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34213303404 = 22327811167407
BaseRepresentation
bin11111110111010001…
…011001010001101100
310021022101100220002100
4133313101121101230
51030032101202104
623414541455100
72320560165150
oct376721312154
9107271326070
1034213303404
1113567577265
126769b71490
1332c324b137
141927c45060
15d53985139
hex7f745946c

34213303404 has 72 divisors (see below), whose sum is σ = 98960895488. Its totient is φ = 9763117920.

The previous prime is 34213303391. The next prime is 34213303457. The reversal of 34213303404 is 40430331243.

34213303404 is a `hidden beast` number, since 342 + 13 + 303 + 4 + 0 + 4 = 666.

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, 120669 + ... + 288075.

Almost surely, 234213303404 is an apocalyptic number.

It is an amenable number.

34213303404 is an abundant number, since it is smaller than the sum of its proper divisors (64747592084).

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

34213303404 is a wasteful number, since it uses less digits than its factorization.

34213303404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168235 (or 168230 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34213303404 its reverse (40430331243), we get a palindrome (74643634647).

The spelling of 34213303404 in words is "thirty-four billion, two hundred thirteen million, three hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 811 1622 2433 3244 4866 5677 7299 9732 11354 14598 17031 22708 29196 34062 51093 68124 102186 167407 204372 334814 502221 669628 1004442 1171849 1506663 2008884 2343698 3013326 3515547 4687396 6026652 7031094 10546641 14062188 21093282 42186564 135767077 271534154 407301231 543068308 814602462 950369539 1221903693 1629204924 1900739078 2443807386 2851108617 3801478156 4887614772 5702217234 8553325851 11404434468 17106651702 34213303404