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34066461 = 3112137219
BaseRepresentation
bin1000000111110…
…1000000011101
32101002202101210
42001331000131
532210111321
63214055033
7562363062
oct201750035
971082353
1034066461
1118258700
12b4aa479
137099b90
14474ac69
152ecdb76
hex207d01d

34066461 has 24 divisors (see below), whose sum is σ = 53774560. Its totient is φ = 19055520.

The previous prime is 34066457. The next prime is 34066469. The reversal of 34066461 is 16466043.

It is not a de Polignac number, because 34066461 - 22 = 34066457 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110 + ... + 8328.

Almost surely, 234066461 is an apocalyptic number.

It is an amenable number.

34066461 is a deficient number, since it is larger than the sum of its proper divisors (19708099).

34066461 is a wasteful number, since it uses less digits than its factorization.

34066461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34066461 is about 5836.6480962964. The cubic root of 34066461 is about 324.1721288553.

It can be divided in two parts, 340664 and 61, that added together give a triangular number (340725 = T825).

The spelling of 34066461 in words is "thirty-four million, sixty-six thousand, four hundred sixty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 7219 21657 79409 93847 238227 281541 873499 1032317 2620497 3096951 11355487 34066461