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34541430200 = 2352295955419
BaseRepresentation
bin100000001010110101…
…000110010110111000
310022011020210110102122
4200022311012112320
51031220101231300
623511302420412
72331653212064
oct401265062670
9108136713378
1034541430200
1113715811832
12683ba31708
1333462163c4
14195965aaa4
15d7269cc85
hex80ad465b8

34541430200 has 48 divisors (see below), whose sum is σ = 83078109000. Its totient is φ = 13340136320.

The previous prime is 34541430193. The next prime is 34541430227. The reversal of 34541430200 is 203414543.

It is a super-2 number, since 2×345414302002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34541430200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971910 + ... + 2983509.

Almost surely, 234541430200 is an apocalyptic number.

It is an amenable number.

34541430200 is an abundant number, since it is smaller than the sum of its proper divisors (48536678800).

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

34541430200 is a wasteful number, since it uses less digits than its factorization.

34541430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955464 (or 5955455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34541430200 its reverse (203414543), we get a palindrome (34744844743).

The spelling of 34541430200 in words is "thirty-four billion, five hundred forty-one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 5955419 11910838 23821676 29777095 47643352 59554190 119108380 148885475 172707151 238216760 297770950 345414302 595541900 690828604 863535755 1191083800 1381657208 1727071510 3454143020 4317678775 6908286040 8635357550 17270715100 34541430200