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34100533242 = 232101104917881
BaseRepresentation
bin11111110000100011…
…001101011111111010
310021000112011120111200
4133300203031133322
51024314214030432
623355432435030
72315020515156
oct376043153772
9107015146450
1034100533242
1113509953386
126738248a76
1332a5a85c29
141916c8c066
15d48b0ba7c
hex7f08cd7fa

34100533242 has 48 divisors (see below), whose sum is σ = 74691325800. Its totient is φ = 11242944000.

The previous prime is 34100533219. The next prime is 34100533273. The reversal of 34100533242 is 24233500143.

34100533242 is a `hidden beast` number, since 3 + 4 + 100 + 533 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33915273921 + 185259321 = 184161^2 + 13611^2 .

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, 1898142 + ... + 1916022.

Almost surely, 234100533242 is an apocalyptic number.

34100533242 is an abundant number, since it is smaller than the sum of its proper divisors (40590792558).

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

34100533242 is a wasteful number, since it uses less digits than its factorization.

34100533242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19039 (or 19036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34100533242 in words is "thirty-four billion, one hundred million, five hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1049 1818 2098 3147 6294 9441 17881 18882 35762 53643 105949 107286 160929 211898 317847 321858 635694 953541 1805981 1907082 3611962 5417943 10835886 16253829 18757169 32507658 37514338 56271507 112543014 168814521 337629042 1894474069 3788948138 5683422207 11366844414 17050266621 34100533242