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3683930970 = 235479192843
BaseRepresentation
bin1101101110010100…
…0101001101011010
3100111201222002020210
43123211011031122
530021041242340
61405315231550
7160201616346
oct33345051532
910451862223
103683930970
111620534955
128698a85b6
134692b8815
1426d39a626
15168640180
hexdb94535a

3683930970 has 64 divisors (see below), whose sum is σ = 9042554880. Its totient is φ = 960095808.

The previous prime is 3683930963. The next prime is 3683930977. The reversal of 3683930970 is 790393863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3683930963) and next prime (3683930977).

It is not an unprimeable number, because it can be changed into a prime (3683930977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294369 + ... + 1297211.

It is an arithmetic number, because the mean of its divisors is an integer number (141289920).

Almost surely, 23683930970 is an apocalyptic number.

3683930970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683930970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521277440).

3683930970 is an abundant number, since it is smaller than the sum of its proper divisors (5358623910).

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

3683930970 is a wasteful number, since it uses less digits than its factorization.

3683930970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819.

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 3683930970 is about 60695.3949653514. The cubic root of 3683930970 is about 1544.4380566515.

The spelling of 3683930970 in words is "three billion, six hundred eighty-three million, nine hundred thirty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 919 1410 1838 2757 2843 4595 5514 5686 8529 9190 13785 14215 17058 27570 28430 42645 43193 85290 86386 129579 133621 215965 259158 267242 400863 431930 647895 668105 801726 1295790 1336210 2004315 2612717 4008630 5225434 7838151 13063585 15676302 26127170 39190755 78381510 122797699 245595398 368393097 613988495 736786194 1227976990 1841965485 3683930970