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34010664 = 2339531487
BaseRepresentation
bin1000000110111…
…1011000101000
32100222220212020
42001233120220
532201320124
63212544440
7562041312
oct201573050
970886766
1034010664
111821a796
12b482120
13707a66c
1447347b2
152ebc379
hex206f628

34010664 has 32 divisors (see below), whose sum is σ = 85173120. Its totient is φ = 11317376.

The previous prime is 34010663. The next prime is 34010681. The reversal of 34010664 is 46601043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34010663) 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 7 ways as a sum of consecutive naturals, for example, 22129 + ... + 23615.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 234010664 is an apocalyptic number.

It is an amenable number.

34010664 is an abundant number, since it is smaller than the sum of its proper divisors (51162456).

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

34010664 is a wasteful number, since it uses less digits than its factorization.

34010664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34010664 is about 5831.8662536104. The cubic root of 34010664 is about 323.9950464111.

The spelling of 34010664 in words is "thirty-four million, ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 953 1487 1906 2859 2974 3812 4461 5718 5948 7624 8922 11436 11896 17844 22872 35688 1417111 2834222 4251333 5668444 8502666 11336888 17005332 34010664