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3198310016 = 27115342859
BaseRepresentation
bin1011111010100010…
…0101011010000000
322020220011222112112
42332220211122000
523022231410031
61245210514452
7142154120666
oct27650453200
98226158475
103198310016
1113a13a9720
12753135a28
133bc7c9545
14224aa8c36
1513abb762b
hexbea25680

3198310016 has 64 divisors (see below), whose sum is σ = 7082186400. Its totient is φ = 1426314240.

The previous prime is 3198310013. The next prime is 3198310043. The reversal of 3198310016 is 6100138913.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×31983100163 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3198310013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53195 + ... + 96053.

Almost surely, 23198310016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3198310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541093200).

3198310016 is an abundant number, since it is smaller than the sum of its proper divisors (3883876384).

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

3198310016 is a wasteful number, since it uses less digits than its factorization.

3198310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42937 (or 42925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 3198310016 is about 56553.6030328749. The cubic root of 3198310016 is about 1473.3531390134.

Adding to 3198310016 its reverse (6100138913), we get a palindrome (9298448929).

The spelling of 3198310016 in words is "three billion, one hundred ninety-eight million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1696 2332 3392 4664 6784 9328 18656 37312 42859 74624 85718 171436 342872 471449 685744 942898 1371488 1885796 2271527 2742976 3771592 4543054 5485952 7543184 9086108 15086368 18172216 24986797 30172736 36344432 49973594 60345472 72688864 99947188 145377728 199894376 290755456 399788752 799577504 1599155008 3198310016