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30350105460 = 2234531604343
BaseRepresentation
bin11100010001000000…
…011101101101110100
32220100011002002210000
4130101000131231310
5444124111333320
621535340031300
72123050432323
oct342100355564
986304062700
1030350105460
1111964930494
125a70232530
132b28a872ac
14167cb420ba
15bc9733c90
hex71101db74

30350105460 has 120 divisors (see below), whose sum is σ = 98280838656. Its totient is φ = 7832272320.

The previous prime is 30350105441. The next prime is 30350105503. The reversal of 30350105460 is 6450105303.

It is a super-2 number, since 2×303501054602 (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 251952 + ... + 352391.

Almost surely, 230350105460 is an apocalyptic number.

30350105460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30350105460 is an abundant number, since it is smaller than the sum of its proper divisors (67930733196).

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

30350105460 is a wasteful number, since it uses less digits than its factorization.

30350105460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604395 (or 604384 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 30350105460 in words is "thirty billion, three hundred fifty million, one hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 50220 604343 1208686 1813029 2417372 3021715 3626058 5439087 6043430 7252116 9065145 10878174 12086860 16317261 18130290 18734633 21756348 27195435 32634522 36260580 37469266 48951783 54390870 56203899 65269044 74938532 81586305 93673165 97903566 108781740 112407798 163172610 168611697 187346330 195807132 224815596 244758915 281019495 326345220 337223394 374692660 489517830 505835091 562038990 674446788 843058485 979035660 1011670182 1124077980 1517505273 1686116970 2023340364 2529175455 3035010546 3372233940 5058350910 6070021092 7587526365 10116701820 15175052730 30350105460