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34500143052 = 22341394091873
BaseRepresentation
bin100000001000010111…
…100110011111001100
310022001101002212010000
4200020113212133030
51031124014034202
623503225444300
72330642243304
oct401027463714
9108041085100
1034500143052
11136a4482121
12682a040690
13333a7bba3b
141953d90604
15d6dc4491c
hex8085e67cc

34500143052 has 120 divisors (see below), whose sum is σ = 91109757200. Its totient is φ = 11383317504.

The previous prime is 34500143021. The next prime is 34500143089. The reversal of 34500143052 is 25034100543.

34500143052 is a `hidden beast` number, since 345 + 0 + 0 + 14 + 305 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18418788 + ... + 18420660.

Almost surely, 234500143052 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 34500143052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45554878600).

34500143052 is an abundant number, since it is smaller than the sum of its proper divisors (56609614148).

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

34500143052 is a wasteful number, since it uses less digits than its factorization.

34500143052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34500143052 its reverse (25034100543), we get a palindrome (59534243595).

The spelling of 34500143052 in words is "thirty-four billion, five hundred million, one hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 409 417 556 818 834 1227 1251 1636 1668 1873 2454 2502 3681 3746 3753 4908 5004 5619 7362 7492 7506 11043 11238 11259 14724 15012 16857 22086 22476 22518 33129 33714 44172 45036 50571 56851 66258 67428 101142 113702 132516 151713 170553 202284 227404 260347 303426 341106 511659 520694 606852 682212 766057 781041 1023318 1041388 1532114 1534977 1562082 2046636 2298171 2343123 3064228 3069954 3124164 4596342 4604931 4686246 6139908 6894513 7029369 9192684 9209862 9372492 13789026 14058738 18419724 20683539 21088107 27578052 28117476 41367078 42176214 62050617 82734156 84352428 106481923 124101234 212963846 248202468 319445769 425927692 638891538 958337307 1277783076 1916674614 2875011921 3833349228 5750023842 8625035763 11500047684 17250071526 34500143052