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3489649920 = 28325302921
BaseRepresentation
bin1100111111111111…
…1101010100000000
3100000012101120202100
43033333331110000
524121322244140
61334135150400
7152322351321
oct31777752400
910005346670
103489649920
1115308a86a9
12814815400
13437c84613
14251666448
15156565530
hexcfffd500

3489649920 has 108 divisors (see below), whose sum is σ = 12073865076. Its totient is φ = 930570240.

The previous prime is 3489649913. The next prime is 3489649973. The reversal of 3489649920 is 299469843.

3489649920 is a `hidden beast` number, since 3 + 48 + 96 + 499 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2066247936 + 1423401984 = 45456^2 + 37728^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139941 + ... + 162980.

It is an arithmetic number, because the mean of its divisors is an integer number (111795047).

Almost surely, 23489649920 is an apocalyptic number.

3489649920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3489649920 is an abundant number, since it is smaller than the sum of its proper divisors (8584215156).

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

3489649920 is a wasteful number, since it uses less digits than its factorization.

3489649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302948 (or 302931 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3489649920 is about 59073.2589248299. The cubic root of 3489649920 is about 1516.7963921294.

The spelling of 3489649920 in words is "three billion, four hundred eighty-nine million, six hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 302921 605842 908763 1211684 1514605 1817526 2423368 2726289 3029210 3635052 4543815 4846736 5452578 6058420 7270104 9087630 9693472 10905156 12116840 13631445 14540208 18175260 19386944 21810312 24233680 27262890 29080416 36350520 38773888 43620624 48467360 54525780 58160832 72701040 77547776 87241248 96934720 109051560 116321664 145402080 174482496 193869440 218103120 232643328 290804160 348964992 387738880 436206240 581608320 697929984 872412480 1163216640 1744824960 3489649920