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3260004480 = 27325565973
BaseRepresentation
bin1100001001001111…
…1011100010000000
322102012021101102200
43002103323202000
523134030120410
61255253113200
7143533403145
oct30223734200
98365241380
103260004480
111423207687
1276b928800
133cc51a845
1422cd683cc
151413023c0
hexc24fb880

3260004480 has 96 divisors (see below), whose sum is σ = 11257222860. Its totient is φ = 869332992.

The previous prime is 3260004479. The next prime is 3260004481. The reversal of 3260004480 is 844000623.

It is an interprime number because it is at equal distance from previous prime (3260004479) and next prime (3260004481).

It can be written as a sum of positive squares in 2 ways, for example, as 3172843584 + 87160896 = 56328^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3260004481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277227 + ... + 288746.

Almost surely, 23260004480 is an apocalyptic number.

3260004480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3260004480 is an abundant number, since it is smaller than the sum of its proper divisors (7997218380).

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

3260004480 is a wasteful number, since it uses less digits than its factorization.

3260004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565998 (or 565983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3260004480 is about 57096.4489263562. The cubic root of 3260004480 is about 1482.7663866531.

The spelling of 3260004480 in words is "three billion, two hundred sixty million, four thousand, four hundred eighty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 565973 1131946 1697919 2263892 2829865 3395838 4527784 5093757 5659730 6791676 8489595 9055568 10187514 11319460 13583352 16979190 18111136 20375028 22638920 25468785 27166704 33958380 36222272 40750056 45277840 50937570 54333408 67916760 72444544 81500112 90555680 101875140 108666816 135833520 163000224 181111360 203750280 217333632 271667040 326000448 362222720 407500560 543334080 652000896 815001120 1086668160 1630002240 3260004480