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34012344150 = 23352140917881
BaseRepresentation
bin11111101011010010…
…110010111101010110
310020210101020002211000
4133223102302331112
51024124130003100
623343002324130
72312600104131
oct375322627526
9106711202730
1034012344150
1113474099634
1267127b9646
133290719335
141909293218
15d40edb900
hex7eb4b2f56

34012344150 has 96 divisors (see below), whose sum is σ = 93794666400. Its totient is φ = 9063014400.

The previous prime is 34012344143. The next prime is 34012344151. The reversal of 34012344150 is 5144321043.

It is a happy number.

34012344150 is a `hidden beast` number, since 340 + 1 + 234 + 41 + 50 = 666.

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 (34012344151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893210 + ... + 1911090.

It is an arithmetic number, because the mean of its divisors is an integer number (977027775).

Almost surely, 234012344150 is an apocalyptic number.

34012344150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012344150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46897333200).

34012344150 is an abundant number, since it is smaller than the sum of its proper divisors (59782322250).

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

34012344150 is a wasteful number, since it uses less digits than its factorization.

34012344150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34012344150 its reverse (5144321043), we get a palindrome (39156665193).

The spelling of 34012344150 in words is "thirty-four billion, twelve million, three hundred forty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 1409 2818 4227 7045 8454 12681 14090 17881 21135 25362 35225 35762 38043 42270 53643 63405 70450 76086 89405 105675 107286 126810 160929 178810 190215 211350 268215 317025 321858 380430 447025 482787 536430 634050 804645 894050 951075 965574 1341075 1609290 1902150 2413935 2682150 4023225 4827870 8046450 12069675 24139350 25194329 50388658 75582987 125971645 151165974 226748961 251943290 377914935 453497922 629858225 680246883 755829870 1133744805 1259716450 1360493766 1889574675 2267489610 3401234415 3779149350 5668724025 6802468830 11337448050 17006172075 34012344150