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34640352 = 253340093
BaseRepresentation
bin1000010000100…
…1000111100000
32102011220122000
42010021013200
532331442402
63234244000
7600303165
oct204110740
972156560
1034640352
111860a89a
12b726600
13723b166
14485a06c
153093c1c
hex21091e0

34640352 has 48 divisors (see below), whose sum is σ = 101036880. Its totient is φ = 11546496.

The previous prime is 34640317. The next prime is 34640357. The reversal of 34640352 is 25304643.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34640357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19183 + ... + 20910.

It is an arithmetic number, because the mean of its divisors is an integer number (2104935).

Almost surely, 234640352 is an apocalyptic number.

34640352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34640352 is an abundant number, since it is smaller than the sum of its proper divisors (66396528).

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

34640352 is a wasteful number, since it uses less digits than its factorization.

34640352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40112 (or 40098 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34640352 is about 5885.6054913662. The cubic root of 34640352 is about 325.9823594404.

Adding to 34640352 its reverse (25304643), we get a palindrome (59944995).

The spelling of 34640352 in words is "thirty-four million, six hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 40093 80186 120279 160372 240558 320744 360837 481116 641488 721674 962232 1082511 1282976 1443348 1924464 2165022 2886696 3848928 4330044 5773392 8660088 11546784 17320176 34640352