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34640544 = 253734943
BaseRepresentation
bin1000010000100…
…1001010100000
32102011220220010
42010021022200
532331444134
63234244520
7600303561
oct204111240
972156803
1034640544
111860aa54
12b726740
13723b283
14485a168
153093ce9
hex21092a0

34640544 has 48 divisors (see below), whose sum is σ = 92195712. Its totient is φ = 11386368.

The previous prime is 34640539. The next prime is 34640561. The reversal of 34640544 is 44504643.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1920744).

Almost surely, 234640544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46097856).

34640544 is an abundant number, since it is smaller than the sum of its proper divisors (57555168).

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

34640544 is a wasteful number, since it uses less digits than its factorization.

34640544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 34640544 is about 5885.6218023247. The cubic root of 34640544 is about 325.9829617100.

The spelling of 34640544 in words is "thirty-four million, six hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 4943 7008 9886 14829 19772 29658 39544 59316 79088 118632 158176 237264 360839 474528 721678 1082517 1443356 2165034 2886712 4330068 5773424 8660136 11546848 17320272 34640544