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3042303120 = 243258594919
BaseRepresentation
bin1011010101010101…
…1101110010010000
321212000122000022100
42311111131302100
522212312144440
61221515040400
7135251102253
oct26525356220
97760560270
103042303120
1113213343aa
1270aa40100
133963a647c
1420c09909a
1512c14d230
hexb555dc90

3042303120 has 120 divisors (see below), whose sum is σ = 10231041600. Its totient is φ = 810171648.

The previous prime is 3042303101. The next prime is 3042303137. The reversal of 3042303120 is 213032403.

3042303120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3042303093 and 3042303102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616021 + ... + 620939.

It is an arithmetic number, because the mean of its divisors is an integer number (85258680).

Almost surely, 23042303120 is an apocalyptic number.

3042303120 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 3042303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115520800).

3042303120 is an abundant number, since it is smaller than the sum of its proper divisors (7188738480).

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

3042303120 is a wasteful number, since it uses less digits than its factorization.

3042303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3042303120 is about 55157.0767898372. The cubic root of 3042303120 is about 1448.9970265718.

Adding to 3042303120 its reverse (213032403), we get a palindrome (3255335523).

The spelling of 3042303120 in words is "three billion, forty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 859 1718 2577 3436 4295 4919 5154 6872 7731 8590 9838 10308 12885 13744 14757 15462 17180 19676 20616 24595 25770 29514 30924 34360 38655 39352 41232 44271 49190 51540 59028 61848 68720 73785 77310 78704 88542 98380 103080 118056 123696 147570 154620 177084 196760 206160 221355 236112 295140 309240 354168 393520 442710 590280 618480 708336 885420 1180560 1770840 3541680 4225421 8450842 12676263 16901684 21127105 25352526 33803368 38028789 42254210 50705052 63381315 67606736 76057578 84508420 101410104 126762630 152115156 169016840 190143945 202820208 253525260 304230312 338033680 380287890 507050520 608460624 760575780 1014101040 1521151560 3042303120