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34232342520 = 23351036774091
BaseRepresentation
bin11111111000011010…
…000001011111111000
310021100201012011211210
4133320122001133320
51030101434430040
623420501523120
72321211052605
oct377032013770
9107321164753
1034232342520
11135772a0672
1267744134a0
1332c718609c
14192a59d6ac
15d55496480
hex7f86817f8

34232342520 has 128 divisors (see below), whose sum is σ = 103872637440. Its totient is φ = 9024437760.

The previous prime is 34232342479. The next prime is 34232342533. The reversal of 34232342520 is 2524323243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8365675 + ... + 8369765.

It is an arithmetic number, because the mean of its divisors is an integer number (811504980).

Almost surely, 234232342520 is an apocalyptic number.

34232342520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34232342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51936318720).

34232342520 is an abundant number, since it is smaller than the sum of its proper divisors (69640294920).

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

34232342520 is a wasteful number, since it uses less digits than its factorization.

34232342520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 34232342520 its reverse (2524323243), we get a palindrome (36756665763).

The spelling of 34232342520 in words is "thirty-four billion, two hundred thirty-two million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 677 824 1030 1236 1354 1545 2031 2060 2472 2708 3090 3385 4062 4091 4120 5416 6180 6770 8124 8182 10155 12273 12360 13540 16248 16364 20310 20455 24546 27080 32728 40620 40910 49092 61365 69731 81240 81820 98184 122730 139462 163640 209193 245460 278924 348655 418386 421373 490920 557848 697310 836772 842746 1045965 1264119 1394620 1673544 1685492 2091930 2106865 2528238 2769607 2789240 3370984 4183860 4213730 5056476 5539214 6320595 8308821 8367720 8427460 10112952 11078428 12641190 13848035 16617642 16854920 22156856 25282380 27696070 33235284 41544105 50564760 55392140 66470568 83088210 110784280 166176420 285269521 332352840 570539042 855808563 1141078084 1426347605 1711617126 2282156168 2852695210 3423234252 4279042815 5705390420 6846468504 8558085630 11410780840 17116171260 34232342520