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34680681 = 3272194139
BaseRepresentation
bin1000010001001…
…0111101101001
32102020221221200
42010102331221
532334240211
63235154413
7600531600
oct204227551
972227850
1034680681
1118638122
12b745a09
137253619
14486aa37
1530a0b56
hex2112f69

34680681 has 36 divisors (see below), whose sum is σ = 61354800. Its totient is φ = 18769968.

The previous prime is 34680671. The next prime is 34680707. The reversal of 34680681 is 18608643.

It is a happy number.

It is not a de Polignac number, because 34680681 - 25 = 34680649 is a prime.

It is a super-2 number, since 2×346806812 = 2405499269247522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34680601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6310 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (1704300).

Almost surely, 234680681 is an apocalyptic number.

It is an amenable number.

34680681 is a deficient number, since it is larger than the sum of its proper divisors (26674119).

34680681 is a wasteful number, since it uses less digits than its factorization.

34680681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34680681 is about 5889.0305653817. The cubic root of 34680681 is about 326.1088154692.

The spelling of 34680681 in words is "thirty-four million, six hundred eighty thousand, six hundred eighty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 4139 8379 12417 28973 37251 78641 86919 202811 235923 260757 550487 608433 707769 1651461 1825299 3853409 4954383 11560227 34680681