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110077434 = 2332119661
BaseRepresentation
bin1101000111110…
…10010111111010
321200010111212000
412203322113322
5211134434214
614531201430
72504433315
oct643722772
9250114760
10110077434
1157154895
1230a46276
1319a6169c
141089597c
1599e5809
hex68fa5fa

110077434 has 32 divisors (see below), whose sum is σ = 245801280. Its totient is φ = 36514800.

The previous prime is 110077423. The next prime is 110077441. The reversal of 110077434 is 434770011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110077398 and 110077407.

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 15 ways as a sum of consecutive naturals, for example, 6564 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (7681290).

Almost surely, 2110077434 is an apocalyptic number.

110077434 is an abundant number, since it is smaller than the sum of its proper divisors (135723846).

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

110077434 is a wasteful number, since it uses less digits than its factorization.

110077434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 110077434 is about 10491.7793533795. The cubic root of 110077434 is about 479.2543892760.

The spelling of 110077434 in words is "one hundred ten million, seventy-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3798 5697 9661 11394 19322 28983 57966 86949 173898 260847 521694 2038471 4076942 6115413 12230826 18346239 36692478 55038717 110077434