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34402311324 = 223217411371047
BaseRepresentation
bin100000000010100010…
…011001110010011100
310021210120000111012200
4200002202121302130
51030423442430244
623445412531500
72325343551513
oct400242316234
9107716014180
1034402311324
1113654231757
126801320b90
133323457144
141944da567a
15d6536c669
hex802899c9c

34402311324 has 72 divisors (see below), whose sum is σ = 94322618208. Its totient is φ = 10529633280.

The previous prime is 34402311323. The next prime is 34402311353. The reversal of 34402311324 is 42311320443.

34402311324 is a `hidden beast` number, since 344 + 0 + 2 + 311 + 3 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660432 + ... + 710615.

It is an arithmetic number, because the mean of its divisors is an integer number (1310036364).

Almost surely, 234402311324 is an apocalyptic number.

34402311324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34402311324 is an abundant number, since it is smaller than the sum of its proper divisors (59920306884).

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

34402311324 is a wasteful number, since it uses less digits than its factorization.

34402311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371115 (or 1371110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34402311324 its reverse (42311320443), we get a palindrome (76713631767).

The spelling of 34402311324 in words is "thirty-four billion, four hundred two million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 1371047 2742094 4113141 5484188 8226282 12339423 16452564 23307799 24678846 46615598 49357692 56212927 69923397 93231196 112425854 139846794 168638781 209770191 224851708 279693588 337277562 419540382 505916343 674555124 839080764 955619759 1011832686 1911239518 2023665372 2866859277 3822479036 5733718554 8600577831 11467437108 17201155662 34402311324