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3346336040 = 235591012139
BaseRepresentation
bin1100011101110101…
…0000100100101000
322122012201111001212
43013131100210220
523323130223130
61312015332252
7145632246515
oct30735204450
98565644055
103346336040
111467a12883
12794821088
13414386ac8
1423a5dc30c
15148ba6e95
hexc7750928

3346336040 has 96 divisors (see below), whose sum is σ = 7789068000. Its totient is φ = 1293446400.

The previous prime is 3346336039. The next prime is 3346336043. The reversal of 3346336040 is 406336433.

It is a super-2 number, since 2×33463360402 = 22395929785205763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3346335988 and 3346336006.

It is not an unprimeable number, because it can be changed into a prime (3346336043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24074291 + ... + 24074429.

It is an arithmetic number, because the mean of its divisors is an integer number (81136125).

Almost surely, 23346336040 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 3346336040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894534000).

3346336040 is an abundant number, since it is smaller than the sum of its proper divisors (4442731960).

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

3346336040 is a wasteful number, since it uses less digits than its factorization.

3346336040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The square root of 3346336040 is about 57847.5240611039. The cubic root of 3346336040 is about 1495.7414084479.

The spelling of 3346336040 in words is "three billion, three hundred forty-six million, three hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 101 118 139 202 236 278 295 404 472 505 556 590 695 808 1010 1112 1180 1390 2020 2360 2780 4040 5560 5959 8201 10201 11918 14039 16402 20402 23836 28078 29795 32804 40804 41005 47672 51005 56156 59590 65608 70195 81608 82010 102010 112312 119180 140390 164020 204020 238360 280780 328040 408040 561560 601859 828301 1203718 1417939 1656602 2407436 2835878 3009295 3313204 4141505 4814872 5671756 6018590 6626408 7089695 8283010 11343512 12037180 14179390 16566020 24074360 28358780 33132040 56717560 83658401 167316802 334633604 418292005 669267208 836584010 1673168020 3346336040