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3301640040 = 233517295203
BaseRepresentation
bin1100010011001011…
…0000011101101000
322112002121200200110
43010302300131220
523230204440130
61303341334320
7144550322466
oct30462603550
98462550613
103301640040
111444765036
127818673a0
1340803797a
142346c5836
15144cc8ab0
hexc4cb0768

3301640040 has 96 divisors (see below), whose sum is σ = 10521946080. Its totient is φ = 828638208.

The previous prime is 3301640033. The next prime is 3301640063. The reversal of 3301640040 is 400461033.

It is a junction number, because it is equal to n+sod(n) for n = 3301639989 and 3301640016.

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, 12922 + ... + 82281.

It is an arithmetic number, because the mean of its divisors is an integer number (109603605).

Almost surely, 23301640040 is an apocalyptic number.

3301640040 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 3301640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260973040).

3301640040 is an abundant number, since it is smaller than the sum of its proper divisors (7220306040).

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

3301640040 is a wasteful number, since it uses less digits than its factorization.

3301640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95251 (or 95230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3301640040 is about 57459.8994081960. The cubic root of 3301640040 is about 1489.0521485374.

The spelling of 3301640040 in words is "three billion, three hundred one million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 95203 190406 285609 380812 476015 571218 761624 952030 1142436 1428045 1618451 1904060 2284872 2856090 3236902 3808120 4855353 5712180 6473804 8092255 9710706 11424360 12947608 16184510 19421412 24276765 27513667 32369020 38842824 48553530 55027334 64738040 82541001 97107060 110054668 137568335 165082002 194214120 220109336 275136670 330164004 412705005 550273340 660328008 825410010 1100546680 1650820020 3301640040