Search a number
-
+
3370407700 = 2252113782811
BaseRepresentation
bin1100100011100100…
…0101011100010100
322200220000110011211
43020321011130110
523400311021300
61314235311204
7146343664342
oct31071053424
98626013154
103370407700
11147a564210
127a08ab504
134193645aa
1423d8a6992
1514ad5e4ba
hexc8e45714

3370407700 has 72 divisors (see below), whose sum is σ = 8194413024. Its totient is φ = 1192464000.

The previous prime is 3370407679. The next prime is 3370407713. The reversal of 3370407700 is 77040733.

It is a super-2 number, since 2×33704077002 = 22719296128438580000, 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 23 ways as a sum of consecutive naturals, for example, 706 + ... + 82105.

It is an arithmetic number, because the mean of its divisors is an integer number (113811292).

Almost surely, 23370407700 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 3370407700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097206512).

3370407700 is an abundant number, since it is smaller than the sum of its proper divisors (4824005324).

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

3370407700 is a wasteful number, since it uses less digits than its factorization.

3370407700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82873 (or 82866 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 3370407700 is about 58055.2125136064. The cubic root of 3370407700 is about 1499.3193504501.

The spelling of 3370407700 in words is "three billion, three hundred seventy million, four hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 82811 165622 331244 414055 828110 910921 1656220 1821842 2070275 3064007 3643684 4140550 4554605 6128014 8281100 9109210 12256028 15320035 18218420 22773025 30640070 33704077 45546050 61280140 67408154 76600175 91092100 134816308 153200350 168520385 306400700 337040770 674081540 842601925 1685203850 3370407700