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104034252 = 22372296101
BaseRepresentation
bin1100011001101…
…10111111001100
321020202111011110
412030312333030
5203113044002
614153452020
72402163600
oct614667714
9236674143
10104034252
11537a7523
122aa11010
1318726b3a
14db61500
1591eee6c
hex6336fcc

104034252 has 72 divisors (see below), whose sum is σ = 292163760. Its totient is φ = 28694400.

The previous prime is 104034239. The next prime is 104034257. The reversal of 104034252 is 252430401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (104034257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14002 + ... + 20102.

It is an arithmetic number, because the mean of its divisors is an integer number (4057830).

Almost surely, 2104034252 is an apocalyptic number.

104034252 is a gapful number since it is divisible by the number (12) 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 104034252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146081880).

104034252 is an abundant number, since it is smaller than the sum of its proper divisors (188129508).

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

104034252 is a wasteful number, since it uses less digits than its factorization.

104034252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 104034252 is about 10199.7182314023. The cubic root of 104034252 is about 470.3185587465.

Adding to 104034252 its reverse (252430401), we get a palindrome (356464653).

The spelling of 104034252 in words is "one hundred four million, thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 6101 8526 12202 17052 18303 24404 36606 42707 73212 85414 128121 170828 176929 256242 298949 353858 512484 530787 597898 707716 896847 1061574 1195796 1238503 1793694 2123148 2477006 3587388 3715509 4954012 7431018 8669521 14862036 17339042 26008563 34678084 52017126 104034252