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34010130320 = 2456171103953
BaseRepresentation
bin11111101011001010…
…010110011110010000
310020210020001122000022
4133223022112132100
51024123043132240
623342443043012
72312542223615
oct375312263620
9106706048008
1034010130320
1113472917321
126711b10468
13329012278a
141908c7850c
15d40c009b5
hex7eb296790

34010130320 has 160 divisors (see below), whose sum is σ = 82379441664. Its totient is φ = 13050777600.

The previous prime is 34010130313. The next prime is 34010130331. The reversal of 34010130320 is 2303101043.

It is a happy number.

It is an unprimeable number.

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, 35686964 + ... + 35687916.

Almost surely, 234010130320 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 34010130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189720832).

34010130320 is an abundant number, since it is smaller than the sum of its proper divisors (48369311344).

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

34010130320 is a wasteful number, since it uses less digits than its factorization.

34010130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 34010130320 its reverse (2303101043), we get a palindrome (36313231363).

The spelling of 34010130320 in words is "thirty-four billion, ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 71 80 103 122 142 206 244 284 305 355 412 488 515 568 610 710 824 953 976 1030 1136 1220 1420 1648 1906 2060 2440 2840 3812 4120 4331 4765 4880 5680 6283 7313 7624 8240 8662 9530 12566 14626 15248 17324 19060 21655 25132 29252 31415 34648 36565 38120 43310 50264 58133 58504 62830 67663 69296 73130 76240 86620 98159 100528 116266 117008 125660 135326 146260 173240 196318 232532 251320 270652 290665 292520 338315 346480 392636 446093 465064 490795 502640 541304 581330 585040 676630 785272 892186 930128 981590 1082608 1162660 1353260 1570544 1784372 1963180 2230465 2325320 2706520 3568744 3926360 4127443 4460930 4650640 5413040 5987699 6969289 7137488 7852720 8254886 8921860 11975398 13938578 16509772 17843720 20637215 23950796 27877156 29938495 33019544 34846445 35687440 41274430 47901592 55754312 59876990 66039088 69692890 82548860 95803184 111508624 119753980 139385780 165097720 239507960 278771560 330195440 425126629 479015920 557543120 850253258 1700506516 2125633145 3401013032 4251266290 6802026064 8502532580 17005065160 34010130320