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34739406 = 23213314789
BaseRepresentation
bin1000010010000…
…1010011001110
32102100221111200
42010201103032
532343130111
63240330330
7601165032
oct204412316
972327450
1034739406
1118678259
12b7739a6
137274280
1448841c2
1530b3256
hex21214ce

34739406 has 48 divisors (see below), whose sum is σ = 83690880. Its totient is φ = 10342080.

The previous prime is 34739389. The next prime is 34739417. The reversal of 34739406 is 60493743.

It is a congruent number.

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, 4860 + ... + 9648.

It is an arithmetic number, because the mean of its divisors is an integer number (1743560).

Almost surely, 234739406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34739406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41845440).

34739406 is an abundant number, since it is smaller than the sum of its proper divisors (48951474).

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

34739406 is a wasteful number, since it uses less digits than its factorization.

34739406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34739406 is about 5894.0144214279. The cubic root of 34739406 is about 326.2927789943.

The spelling of 34739406 in words is "thirty-four million, seven hundred thirty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 4789 7254 9578 14367 28734 43101 62257 86202 124514 148459 186771 296918 373542 445377 560313 890754 1120626 1336131 1929967 2672262 3859934 5789901 11579802 17369703 34739406