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30843346128 = 2437373431571
BaseRepresentation
bin11100101110011010…
…000001110011010000
32221121112012022202220
4130232122001303100
51001131344034003
622100315541040
72141220054630
oct345632016320
987545168686
1030843346128
11120982a0501
125b8945a780
132ba701388a
1416c84586c0
15c07bb4353
hex72e681cd0

30843346128 has 160 divisors (see below), whose sum is σ = 91677560832. Its totient is φ = 8753011200.

The previous prime is 30843346123. The next prime is 30843346153. The reversal of 30843346128 is 82164334803.

It is a super-2 number, since 2×308433461282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 30843346128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30843346123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54016083 + ... + 54016653.

Almost surely, 230843346128 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 30843346128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45838780416).

30843346128 is an abundant number, since it is smaller than the sum of its proper divisors (60834214704).

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

30843346128 is a wasteful number, since it uses less digits than its factorization.

30843346128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 30843346128 in words is "thirty billion, eight hundred forty-three million, three hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 373 431 571 746 862 1119 1142 1293 1492 1713 1724 2238 2284 2586 2611 2984 3017 3426 3448 3997 4476 4568 5172 5222 5968 6034 6852 6896 7833 7994 8952 9051 9136 10344 10444 11991 12068 13704 15666 15988 17904 18102 20688 20888 23982 24136 27408 31332 31976 36204 41776 47964 48272 62664 63952 72408 95928 125328 144816 160763 191856 212983 246101 321526 425966 482289 492202 638949 643052 738303 851932 964578 984404 1125341 1277898 1286104 1476606 1490881 1703864 1722707 1929156 1968808 2250682 2555796 2572208 2953212 2981762 3376023 3407728 3445414 3858312 3937616 4472643 4501364 5111592 5168121 5906424 5963524 6752046 6890828 7716624 8945286 9002728 10223184 10336242 11812848 11927048 13504092 13781656 17890572 18005456 20672484 23854096 27008184 27563312 35781144 41344968 54016368 71562288 82689936 91795673 183591346 275387019 367182692 550774038 642569711 734365384 1101548076 1285139422 1468730768 1927709133 2203096152 2570278844 3855418266 4406192304 5140557688 7710836532 10281115376 15421673064 30843346128