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34268192 = 257178999
BaseRepresentation
bin1000001010111…
…0010000100000
32101111000010022
42002232100200
532233040232
63222253012
7564163160
oct202562040
971430108
1034268192
1118386222
12b587168
13713a94a
1447a05a0
15301d812
hex20ae420

34268192 has 48 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 13820928.

The previous prime is 34268173. The next prime is 34268197. The reversal of 34268192 is 29186243.

It is not an unprimeable number, because it can be changed into a prime (34268197) 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, 692 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 234268192 is an apocalyptic number.

34268192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

34268192 is an abundant number, since it is smaller than the sum of its proper divisors (47379808).

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

34268192 is a wasteful number, since it uses less digits than its factorization.

34268192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9025 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 34268192 is about 5853.9039964796. The cubic root of 34268192 is about 324.8107521496.

The spelling of 34268192 in words is "thirty-four million, two hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 8999 17998 35996 62993 71992 125986 143984 152983 251972 287968 305966 503944 611932 1007888 1070881 1223864 2015776 2141762 2447728 4283524 4895456 8567048 17134096 34268192