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34456314 = 2317231641
BaseRepresentation
bin1000001101110…
…0001011111010
32101211120011210
42003130023322
532310100224
63230303550
7565605504
oct203341372
971746153
1034456314
11184a45a2
12b657bb6
1371a5469
14480cd74
153059429
hex20dc2fa

34456314 has 48 divisors (see below), whose sum is σ = 75684096. Its totient is φ = 10444800.

The previous prime is 34456249. The next prime is 34456327. The reversal of 34456314 is 41365443.

34456314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53434 + ... + 54074.

It is an arithmetic number, because the mean of its divisors is an integer number (1576752).

Almost surely, 234456314 is an apocalyptic number.

34456314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34456314 is an abundant number, since it is smaller than the sum of its proper divisors (41227782).

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

34456314 is a wasteful number, since it uses less digits than its factorization.

34456314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 34456314 is about 5869.9500849667. The cubic root of 34456314 is about 325.4040387154.

The spelling of 34456314 in words is "thirty-four million, four hundred fifty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 289 527 578 641 867 1054 1282 1581 1734 1923 3162 3846 8959 10897 17918 19871 21794 26877 32691 39742 53754 59613 65382 119226 185249 337807 370498 555747 675614 1013421 1111494 2026842 5742719 11485438 17228157 34456314