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34460705 = 541971733
BaseRepresentation
bin1000001101110…
…1010000100001
32101211210012102
42003131100201
532310220310
63230340145
7565624346
oct203352041
971753172
1034460705
11184a7924
12b65a655
1371a7466
1448107cd
15305a8a5
hex20dd421

34460705 has 16 divisors (see below), whose sum is σ = 42822864. Its totient is φ = 26603520.

The previous prime is 34460681. The next prime is 34460707. The reversal of 34460705 is 50706443.

It can be written as a sum of positive squares in 8 ways, for example, as 5387041 + 29073664 = 2321^2 + 5392^2 .

It is not a de Polignac number, because 34460705 - 26 = 34460641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34460707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19019 + ... + 20751.

It is an arithmetic number, because the mean of its divisors is an integer number (2676429).

It is the magic constant of a 410 × 410 magic square.

Almost surely, 234460705 is an apocalyptic number.

It is an amenable number.

34460705 is a deficient number, since it is larger than the sum of its proper divisors (8362159).

34460705 is a wasteful number, since it uses less digits than its factorization.

34460705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 34460705 is about 5870.3240966747. The cubic root of 34460705 is about 325.4178609372.

The spelling of 34460705 in words is "thirty-four million, four hundred sixty thousand, seven hundred five".

Divisors: 1 5 41 97 205 485 1733 3977 8665 19885 71053 168101 355265 840505 6892141 34460705