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3204101952 = 263250311059
BaseRepresentation
bin1011111011111010…
…1011011101000000
322021022002020120200
42332332223131000
523030222230302
61245535005200
7142254263052
oct27676533500
98238066520
103204101952
1113a46a5247
12755069800
133c0a7691c
142257758d2
1513b45d81c
hexbefab740

3204101952 has 84 divisors (see below), whose sum is σ = 9203070240. Its totient is φ = 1065814272.

The previous prime is 3204101951. The next prime is 3204101981. The reversal of 3204101952 is 2591014023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204101951) by changing a digit.

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, 284199 + ... + 295257.

It is an arithmetic number, because the mean of its divisors is an integer number (109560360).

Almost surely, 23204101952 is an apocalyptic number.

3204101952 is a gapful number since it is divisible by the number (32) 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 3204101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601535120).

3204101952 is an abundant number, since it is smaller than the sum of its proper divisors (5998968288).

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

3204101952 is a wasteful number, since it uses less digits than its factorization.

3204101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3204101952 is about 56604.7873593745. The cubic root of 3204101952 is about 1474.2419856200.

Adding to 3204101952 its reverse (2591014023), we get a palindrome (5795115975).

The spelling of 3204101952 in words is "three billion, two hundred four million, one hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 503 576 1006 1509 2012 3018 4024 4527 6036 8048 9054 11059 12072 16096 18108 22118 24144 32192 33177 36216 44236 48288 66354 72432 88472 96576 99531 132708 144864 176944 199062 265416 289728 353888 398124 530832 707776 796248 1061664 1592496 2123328 3184992 5562677 6369984 11125354 16688031 22250708 33376062 44501416 50064093 66752124 89002832 100128186 133504248 178005664 200256372 267008496 356011328 400512744 534016992 801025488 1068033984 1602050976 3204101952