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2998964304 = 243373131991
BaseRepresentation
bin1011001011000000…
…1001000001010000
321202000002011122000
42302300021001100
522120213324204
61213330114000
7134213530110
oct26260110120
97660064560
102998964304
1112a99232a6
126b841b900
1338a410cbb
14206417040
1512843c039
hexb2c09050

2998964304 has 160 divisors (see below), whose sum is σ = 10155540480. Its totient is φ = 829180800.

The previous prime is 2998964249. The next prime is 2998964321. The reversal of 2998964304 is 4034698992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77749 + ... + 109739.

It is an arithmetic number, because the mean of its divisors is an integer number (63472128).

Almost surely, 22998964304 is an apocalyptic number.

2998964304 is a gapful number since it is divisible by the number (24) 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 2998964304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077770240).

2998964304 is an abundant number, since it is smaller than the sum of its proper divisors (7156576176).

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

2998964304 is a wasteful number, since it uses less digits than its factorization.

2998964304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32046 (or 32034 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2998964304 is about 54762.8003666723. The cubic root of 2998964304 is about 1442.0835809698.

The spelling of 2998964304 in words is "two billion, nine hundred ninety-eight million, nine hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 31991 46872 63982 93744 95973 127964 191946 223937 255928 287919 383892 447874 511856 575838 671811 767784 863757 895748 991721 1151676 1343622 1535568 1727514 1791496 1983442 2015433 2303352 2687244 2975163 3455028 3582992 3966884 4030866 4606704 5374488 5950326 6046299 6910056 6942047 7933768 8061732 8925489 10748976 11900652 12092598 13820112 13884094 15867536 16123464 17850978 20826141 23801304 24185196 26776467 27768188 32246928 35701956 41652282 47602608 48370392 53552934 55536376 62478423 71403912 83304564 96740784 107105868 111072752 124956846 142807824 166609128 187435269 214211736 249913692 333218256 374870538 428423472 499827384 749741076 999654768 1499482152 2998964304