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3028058640 = 24345467293
BaseRepresentation
bin1011010001111100…
…1000001000010000
321211000211022120000
42310133020020100
522200140334030
61220245450000
7135016034205
oct26437101020
97730738500
103028058640
111314295302
12706110900
13393459999
1420a22bcac
1512ac87860
hexb47c8210

3028058640 has 100 divisors (see below), whose sum is σ = 10516918764. Its totient is φ = 807480576.

The previous prime is 3028058573. The next prime is 3028058669. The reversal of 3028058640 is 468508203.

3028058640 is a `hidden beast` number, since 3 + 0 + 2 + 8 + 0 + 5 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1012766976 + 2015291664 = 31824^2 + 44892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3028058595 and 3028058604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227167 + ... + 240126.

Almost surely, 23028058640 is an apocalyptic number.

3028058640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3028058640 is an abundant number, since it is smaller than the sum of its proper divisors (7488860124).

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

3028058640 is a wasteful number, since it uses less digits than its factorization.

3028058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467318 (or 467303 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3028058640 is about 55027.7987929737. The cubic root of 3028058640 is about 1446.7320203321.

The spelling of 3028058640 in words is "three billion, twenty-eight million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 467293 934586 1401879 1869172 2336465 2803758 3738344 4205637 4672930 5607516 7009395 7476688 8411274 9345860 11215032 12616911 14018790 16822548 18691720 21028185 22430064 25233822 28037580 33645096 37383440 37850733 42056370 50467644 56075160 63084555 67290192 75701466 84112740 100935288 112150320 126169110 151402932 168225480 189253665 201870576 252338220 302805864 336450960 378507330 504676440 605611728 757014660 1009352880 1514029320 3028058640