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34651342000 = 2453113894049
BaseRepresentation
bin100000010001011000…
…011000010010110000
310022102220121120002001
4200101120120102300
51031431220421000
623530230303344
72334456355462
oct402130302260
9108386546061
1034651342000
1113771863130
1268707b7b54
133362c1a582
14196a0ac132
15d7c15e46a
hex8116184b0

34651342000 has 160 divisors (see below), whose sum is σ = 91661544000. Its totient is φ = 12564992000.

The previous prime is 34651341973. The next prime is 34651342013. The reversal of 34651342000 is 24315643.

It is a self number, because there is not a number n which added to its sum of digits gives 34651342000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8555976 + ... + 8560024.

It is an arithmetic number, because the mean of its divisors is an integer number (572884650).

Almost surely, 234651342000 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 34651342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830772000).

34651342000 is an abundant number, since it is smaller than the sum of its proper divisors (57010202000).

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

34651342000 is a wasteful number, since it uses less digits than its factorization.

34651342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 34651342000 its reverse (24315643), we get a palindrome (34675657643).

The spelling of 34651342000 in words is "thirty-four billion, six hundred fifty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 389 400 440 500 550 778 880 1000 1100 1375 1556 1945 2000 2200 2750 3112 3890 4049 4279 4400 5500 6224 7780 8098 8558 9725 11000 15560 16196 17116 19450 20245 21395 22000 31120 32392 34232 38900 40490 42790 44539 48625 64784 68464 77800 80980 85580 89078 97250 101225 106975 155600 161960 171160 178156 194500 202450 213950 222695 323920 342320 356312 389000 404900 427900 445390 506125 534875 712624 778000 809800 855800 890780 1012250 1069750 1113475 1575061 1619600 1711600 1781560 2024500 2139500 2226950 3150122 3563120 4049000 4279000 4453900 5567375 6300244 7875305 8098000 8558000 8907800 11134750 12600488 15750610 17325671 17815600 22269500 25200976 31501220 34651342 39376525 44539000 63002440 69302684 78753050 86628355 89078000 126004880 138605368 157506100 173256710 196882625 277210736 315012200 346513420 393765250 433141775 630024400 693026840 787530500 866283550 1386053680 1575061000 1732567100 2165708875 3150122000 3465134200 4331417750 6930268400 8662835500 17325671000 34651342000