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29342332000 = 255337198259
BaseRepresentation
bin11011010100111100…
…000111010001100000
32210201220202220111001
4123110330013101200
5440043114111000
621251340001344
72056062464302
oct332474072140
983656686431
1029342332000
1111497a88363
12582a830254
1329c8057b37
1415c4d6d972
15b6b01946a
hex6d4f07460

29342332000 has 96 divisors (see below), whose sum is σ = 74042972640. Its totient is φ = 11419660800.

The previous prime is 29342331973. The next prime is 29342332007. The reversal of 29342332000 is 23324392.

It is a self number, because there is not a number n which added to its sum of digits gives 29342332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29342332007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48871 + ... + 247129.

It is an arithmetic number, because the mean of its divisors is an integer number (771280965).

Almost surely, 229342332000 is an apocalyptic number.

29342332000 is a gapful number since it is divisible by the number (20) 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 29342332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37021486320).

29342332000 is an abundant number, since it is smaller than the sum of its proper divisors (44700640640).

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

29342332000 is a wasteful number, since it uses less digits than its factorization.

29342332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198321 (or 198303 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 29342332000 its reverse (23324392), we get a palindrome (29365656392).

The spelling of 29342332000 in words is "twenty-nine billion, three hundred forty-two million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 198259 396518 793036 991295 1586072 1982590 3172144 3965180 4956475 6344288 7335583 7930360 9912950 14671166 15860720 19825900 24782375 29342332 31721440 36677915 39651800 49564750 58684664 73355830 79303600 99129500 117369328 146711660 158607200 183389575 198259000 234738656 293423320 366779150 396518000 586846640 733558300 793036000 916947875 1173693280 1467116600 1833895750 2934233200 3667791500 5868466400 7335583000 14671166000 29342332000