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3250341120 = 28351365111
BaseRepresentation
bin1100000110111100…
…0100010100000000
322101112002102210110
43001233010110000
523124041403440
61254310031320
7143355305115
oct30157042400
98345072713
103250341120
111418807434
12768648540
133ca516290
1422b97090c
15140544080
hexc1bc4500

3250341120 has 144 divisors (see below), whose sum is σ = 11179469952. Its totient is φ = 800071680.

The previous prime is 3250341113. The next prime is 3250341131. The reversal of 3250341120 is 211430523.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17365 + ... + 82475.

It is an arithmetic number, because the mean of its divisors is an integer number (77635208).

Almost surely, 23250341120 is an apocalyptic number.

3250341120 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 3250341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589734976).

3250341120 is an abundant number, since it is smaller than the sum of its proper divisors (7929128832).

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

3250341120 is a wasteful number, since it uses less digits than its factorization.

3250341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65148 (or 65134 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3250341120 is about 57011.7629967711. The cubic root of 3250341120 is about 1481.2998563219.

Adding to 3250341120 its reverse (211430523), we get a palindrome (3461771643).

The spelling of 3250341120 in words is "three billion, two hundred fifty million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 65111 130222 195333 260444 325555 390666 520888 651110 781332 846443 976665 1041776 1302220 1562664 1692886 1953330 2083552 2539329 2604440 3125328 3385772 3906660 4167104 4232215 5078658 5208880 6250656 6771544 7813320 8334208 8464430 10157316 10417760 12501312 12696645 13543088 15626640 16668416 16928860 20314632 20835520 25002624 25393290 27086176 31253280 33857720 40629264 41671040 50005248 50786580 54172352 62506560 67715440 81258528 83342080 101573160 108344704 125013120 135430880 162517056 203146320 216689408 250026240 270861760 325034112 406292640 541723520 650068224 812585280 1083447040 1625170560 3250341120