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3045480240 = 2435112939779
BaseRepresentation
bin1011010110000110…
…0101011100110000
321212020121102111110
42311201211130300
522214120331430
61222111113320
7135320104065
oct26541453460
97766542443
103045480240
111323104420
1270bb12840
13396c4961a
1420c684c6c
1512c5797b0
hexb5865730

3045480240 has 160 divisors (see below), whose sum is σ = 10654675200. Its totient is φ = 712821760.

The previous prime is 3045480233. The next prime is 3045480307. The reversal of 3045480240 is 420845403.

It is a super-3 number, since 3×30454802403 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3045480198 and 3045480207.

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, 56671 + ... + 96449.

It is an arithmetic number, because the mean of its divisors is an integer number (66591720).

Almost surely, 23045480240 is an apocalyptic number.

3045480240 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 3045480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327337600).

3045480240 is an abundant number, since it is smaller than the sum of its proper divisors (7609194960).

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

3045480240 is a wasteful number, since it uses less digits than its factorization.

3045480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39835 (or 39829 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3045480240 is about 55185.8699306263. The cubic root of 3045480240 is about 1449.5012537568.

The spelling of 3045480240 in words is "three billion, forty-five million, four hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 39779 76560 79558 119337 159116 198895 238674 318232 397790 437569 477348 596685 636464 795580 875138 954696 1153591 1193370 1312707 1591160 1750276 1909392 2187845 2307182 2386740 2625414 3182320 3460773 3500552 4375690 4614364 4773480 5250828 5767955 6563535 6921546 7001104 8751380 9228728 9546960 10501656 11535910 12689501 13127070 13843092 17303865 17502760 18457456 21003312 23071820 25379002 26254140 27686184 34607730 35005520 38068503 46143640 50758004 52508280 55372368 63447505 69215460 76137006 92287280 101516008 105016560 126895010 138430920 152274012 190342515 203032016 253790020 276861840 304548024 380685030 507580040 609096048 761370060 1015160080 1522740120 3045480240