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3032491680 = 253252105897
BaseRepresentation
bin1011010011000000…
…0010011010100000
321211100011112112200
42310300002122200
522202304213210
61220524453200
7135101516421
oct26460023240
97740145480
103032491680
111316842979
127076aa200
1339434c69a
1420aa63648
1512b3610c0
hexb4c026a0

3032491680 has 72 divisors (see below), whose sum is σ = 10348382772. Its totient is φ = 808664064.

The previous prime is 3032491669. The next prime is 3032491681. The reversal of 3032491680 is 861942303.

It can be written as a sum of positive squares in 2 ways, for example, as 3032484624 + 7056 = 55068^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3032491681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051509 + ... + 1054388.

Almost surely, 23032491680 is an apocalyptic number.

3032491680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3032491680 is an abundant number, since it is smaller than the sum of its proper divisors (7315891092).

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

3032491680 is a wasteful number, since it uses less digits than its factorization.

3032491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105918 (or 2105907 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3032491680 is about 55068.0640662081. The cubic root of 3032491680 is about 1447.4376752855.

The spelling of 3032491680 in words is "three billion, thirty-two million, four hundred ninety-one thousand, six 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 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2105897 4211794 6317691 8423588 10529485 12635382 16847176 18953073 21058970 25270764 31588455 33694352 37906146 42117940 50541528 63176910 67388704 75812292 84235880 94765365 101083056 126353820 151624584 168471760 189530730 202166112 252707640 303249168 336943520 379061460 505415280 606498336 758122920 1010830560 1516245840 3032491680