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3434325500 = 2253231072791
BaseRepresentation
bin1100110010110011…
…1010010111111100
322212100021210220202
43030230322113330
524013141404000
61324441303032
7151051166534
oct31454722774
98770253822
103434325500
111502650641
127ba194a78
13429683888
142481844c4
15151787dd5
hexccb3a5fc

3434325500 has 96 divisors (see below), whose sum is σ = 7902655488. Its totient is φ = 1301256000.

The previous prime is 3434325497. The next prime is 3434325509. The reversal of 3434325500 is 55234343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434325509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229105 + ... + 1231895.

It is an arithmetic number, because the mean of its divisors is an integer number (82319328).

Almost surely, 23434325500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434325500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951327744).

3434325500 is an abundant number, since it is smaller than the sum of its proper divisors (4468329988).

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

3434325500 is a wasteful number, since it uses less digits than its factorization.

3434325500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 3434325500 is about 58603.1185177035. The cubic root of 3434325500 is about 1508.7379627951.

Adding to 3434325500 its reverse (55234343), we get a palindrome (3489559843).

The spelling of 3434325500 in words is "three billion, four hundred thirty-four million, three hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 107 115 125 214 230 250 428 460 500 535 575 1070 1150 2140 2300 2461 2675 2791 2875 4922 5350 5582 5750 9844 10700 11164 11500 12305 13375 13955 24610 26750 27910 49220 53500 55820 61525 64193 69775 123050 128386 139550 246100 256772 279100 298637 307625 320965 348875 597274 615250 641930 697750 1194548 1230500 1283860 1395500 1493185 1604825 2986370 3209650 5972740 6419300 6868651 7465925 8024125 13737302 14931850 16048250 27474604 29863700 32096500 34343255 37329625 68686510 74659250 137373020 149318500 171716275 343432550 686865100 858581375 1717162750 3434325500