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34032023300 = 225211731393049
BaseRepresentation
bin11111101100011101…
…110111011100000100
310020211202020220112102
4133230131313130010
51024144144221200
623344544211232
72313226265552
oct375435673404
9106752226472
1034032023300
111348420a8a0
126719309b18
1332948196c2
14190bb36bd2
15d42ac76d5
hex7ec777704

34032023300 has 144 divisors (see below), whose sum is σ = 82281192000. Its totient is φ = 12113971200.

The previous prime is 34032023287. The next prime is 34032023321. The reversal of 34032023300 is 332023043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11160176 + ... + 11163224.

Almost surely, 234032023300 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 34032023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140596000).

34032023300 is an abundant number, since it is smaller than the sum of its proper divisors (48249168700).

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

34032023300 is a wasteful number, since it uses less digits than its factorization.

34032023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 34032023300 its reverse (332023043), we get a palindrome (34364046343).

The spelling of 34032023300 in words is "thirty-four billion, thirty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 139 146 220 275 278 292 365 550 556 695 730 803 1100 1390 1460 1529 1606 1825 2780 3049 3058 3212 3475 3650 4015 6098 6116 6950 7300 7645 8030 10147 12196 13900 15245 15290 16060 20075 20294 30490 30580 33539 38225 40150 40588 50735 60980 67078 76225 76450 80300 101470 111617 134156 152450 152900 167695 202940 222577 223234 253675 304900 335390 423811 445154 446468 507350 558085 670780 838475 847622 890308 1014700 1112885 1116170 1676950 1695244 2119055 2225770 2232340 2448347 2790425 3353900 4238110 4451540 4661921 4896694 5564425 5580850 8476220 9323842 9793388 10595275 11128850 11161700 12241735 18647684 21190550 22257700 23309605 24483470 30938203 42381100 46619210 48966940 61208675 61876406 93238420 116548025 122417350 123752812 154691015 233096050 244834700 309382030 340320233 466192100 618764060 680640466 773455075 1361280932 1546910150 1701601165 3093820300 3403202330 6806404660 8508005825 17016011650 34032023300