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34053075 = 335277207
BaseRepresentation
bin1000000111100…
…1101111010011
32101002002001000
42001321233103
532204144300
63213513043
7562306050
oct201715723
971062030
1034053075
1118249641
12b4a2783
137093a64
144746027
152ec9c00
hex2079bd3

34053075 has 48 divisors (see below), whose sum is σ = 71503360. Its totient is φ = 15564960.

The previous prime is 34053043. The next prime is 34053101. The reversal of 34053075 is 57035043.

It is a happy number.

It is not a de Polignac number, because 34053075 - 25 = 34053043 is a prime.

It is a super-2 number, since 2×340530752 = 2319223833911250, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122 + ... + 8328.

Almost surely, 234053075 is an apocalyptic number.

34053075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34053075 is an abundant number, since it is smaller than the sum of its proper divisors (37450285).

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

34053075 is a wasteful number, since it uses less digits than its factorization.

34053075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 34053075 is about 5835.5012638162. The cubic root of 34053075 is about 324.1296634658.

The spelling of 34053075 in words is "thirty-four million, fifty-three thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 7207 21621 36035 50449 64863 108105 151347 180175 194589 252245 324315 454041 540525 756735 972945 1261225 1362123 1621575 2270205 3783675 4864725 6810615 11351025 34053075