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34689666 = 23114753211
BaseRepresentation
bin1000010001010…
…1001010000010
32102021102021110
42010111022002
532340032131
63235304150
7600600024
oct204251202
972242243
1034689666
1118643950
12b74b056
13725773b
144870014
1530a3646
hex2115282

34689666 has 64 divisors (see below), whose sum is σ = 79128576. Its totient is φ = 10046400.

The previous prime is 34689661. The next prime is 34689671. The reversal of 34689666 is 66698643.

It is an interprime number because it is at equal distance from previous prime (34689661) and next prime (34689671).

It is not an unprimeable number, because it can be changed into a prime (34689661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164301 + ... + 164511.

It is an arithmetic number, because the mean of its divisors is an integer number (1236384).

Almost surely, 234689666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564288).

34689666 is an abundant number, since it is smaller than the sum of its proper divisors (44438910).

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

34689666 is a wasteful number, since it uses less digits than its factorization.

34689666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 1119744, while the sum is 48.

The square root of 34689666 is about 5889.7933749835. The cubic root of 34689666 is about 326.1369755727.

The spelling of 34689666 in words is "thirty-four million, six hundred eighty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 211 282 318 422 517 583 633 1034 1166 1266 1551 1749 2321 2491 3102 3498 4642 4982 6963 7473 9917 11183 13926 14946 19834 22366 27401 29751 33549 54802 59502 67098 82203 109087 123013 164406 218174 246026 327261 369039 525601 654522 738078 1051202 1576803 3153606 5781611 11563222 17344833 34689666