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3430136052 = 223375638059
BaseRepresentation
bin1100110001110011…
…1011100011110100
322212001101222002000
43030130323203310
524011103323202
61324211415300
7151000450440
oct31434734364
98761358060
103430136052
111500249a92
127b88b4530
13428847a05
142477b3820
1515120b91c
hexcc73b8f4

3430136052 has 96 divisors (see below), whose sum is σ = 10182681600. Its totient is φ = 978176736.

The previous prime is 3430136011. The next prime is 3430136071. The reversal of 3430136052 is 2506310343.

It is a happy number.

3430136052 is a `hidden beast` number, since 3 + 43 + 0 + 13 + 605 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421599 + ... + 429657.

It is an arithmetic number, because the mean of its divisors is an integer number (106069600).

Almost surely, 23430136052 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 3430136052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091340800).

3430136052 is an abundant number, since it is smaller than the sum of its proper divisors (6752545548).

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

3430136052 is a wasteful number, since it uses less digits than its factorization.

3430136052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3430136052 is about 58567.3633690300. The cubic root of 3430136052 is about 1508.1242225647.

Adding to 3430136052 its reverse (2506310343), we get a palindrome (5936446395).

The spelling of 3430136052 in words is "three billion, four hundred thirty million, one hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 563 756 1126 1689 2252 3378 3941 5067 6756 7882 8059 10134 11823 15201 15764 16118 20268 23646 24177 30402 32236 35469 47292 48354 56413 60804 70938 72531 96708 106407 112826 141876 145062 169239 212814 217593 225652 290124 338478 425628 435186 507717 676956 870372 1015434 1523151 2030868 3046302 4537217 6092604 9074434 13611651 18148868 27223302 31760519 40834953 54446604 63521038 81669906 95281557 122504859 127042076 163339812 190563114 245009718 285844671 381126228 490019436 571689342 857534013 1143378684 1715068026 3430136052