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3360000020 = 22513174118541
BaseRepresentation
bin1100100001000101…
…1000100000010100
322200011102200112012
43020101120200110
523340130000040
61313224243352
7146156346266
oct31021304024
98604380465
103360000020
1114746a5823
12799310558
1341715c2c0
1423c357b36
15149ea5865
hexc8458814

3360000020 has 96 divisors (see below), whose sum is σ = 8242438176. Its totient is φ = 1139097600.

The previous prime is 3359999947. The next prime is 3360000041. The reversal of 3360000020 is 200000633.

It can be written as a sum of positive squares in 16 ways, for example, as 1757118724 + 1602881296 = 41918^2 + 40036^2 .

It is a super-2 number, since 2×33600000202 = 22579200268800000800, which contains 22 as substring.

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, 171950 + ... + 190490.

It is an arithmetic number, because the mean of its divisors is an integer number (85858731).

Almost surely, 23360000020 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 3360000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121219088).

3360000020 is an abundant number, since it is smaller than the sum of its proper divisors (4882438156).

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

3360000020 is a wasteful number, since it uses less digits than its factorization.

3360000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18621 (or 18619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3360000020 is about 57965.5071572741. The cubic root of 3360000020 is about 1497.7744804155.

Adding to 3360000020 its reverse (200000633), we get a palindrome (3560000653).

The spelling of 3360000020 in words is "three billion, three hundred sixty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 884 1066 1105 1394 2132 2210 2665 2788 3485 4420 5330 6970 9061 10660 13940 18122 18541 36244 37082 45305 74164 90610 92705 181220 185410 241033 315197 370820 482066 630394 760181 964132 1205165 1260788 1520362 1575985 2410330 3040724 3151970 3800905 4097561 4820660 6303940 7601810 8195122 9882353 12923077 15203620 16390244 19764706 20487805 25846154 39529412 40975610 49411765 51692308 64615385 81951220 98823530 129230770 168000001 197647060 258461540 336000002 672000004 840000005 1680000010 3360000020