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3734727620 = 2251321764997
BaseRepresentation
bin1101111010011011…
…0110101111000100
3100122021112211011012
43132212312233010
530122042240440
61414332101352
7161356442501
oct33646665704
910567484135
103734727620
11164717a158
12882904858
13476992700
142760204a8
1516cd25e65
hexde9b6bc4

3734727620 has 72 divisors (see below), whose sum is σ = 8992343304. Its totient is φ = 1297840128.

The previous prime is 3734727617. The next prime is 3734727629. The reversal of 3734727620 is 267274373.

It can be written as a sum of positive squares in 12 ways, for example, as 2376952516 + 1357775104 = 48754^2 + 36848^2 .

It is not an unprimeable number, because it can be changed into a prime (3734727629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24962 + ... + 89958.

It is an arithmetic number, because the mean of its divisors is an integer number (124893657).

Almost surely, 23734727620 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 3734727620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496171652).

3734727620 is an abundant number, since it is smaller than the sum of its proper divisors (5257615684).

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

3734727620 is a wasteful number, since it uses less digits than its factorization.

3734727620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65049 (or 65034 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 41.

The square root of 3734727620 is about 61112.4178870383. The cubic root of 3734727620 is about 1551.5042794745.

The spelling of 3734727620 in words is "three billion, seven hundred thirty-four million, seven hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2210 2873 3380 4420 5746 11492 14365 28730 57460 64997 129994 259988 324985 649970 844961 1104949 1299940 1689922 2209898 3379844 4224805 4419796 5524745 8449610 10984493 11049490 14364337 16899220 21968986 22098980 28728674 43937972 54922465 57457348 71821685 109844930 143643370 186736381 219689860 287286740 373472762 746945524 933681905 1867363810 3734727620