Search a number
-
+
3703703340 = 22352315311753
BaseRepresentation
bin1101110011000010…
…0000011100101100
3100120010011121211210
43130300200130230
530041122001330
61411303114420
7160531646631
oct33460403454
910503147753
103703703340
11163070a157
12874442a10
1347041c44c
14271c66188
1516a2488b0
hexdcc2072c

3703703340 has 96 divisors (see below), whose sum is σ = 10834500096. Its totient is φ = 943557120.

The previous prime is 3703703327. The next prime is 3703703401. The reversal of 3703703340 is 433073073.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3703703298 and 3703703307.

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, 2111904 + ... + 2113656.

It is an arithmetic number, because the mean of its divisors is an integer number (112859376).

Almost surely, 23703703340 is an apocalyptic number.

3703703340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3703703340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417250048).

3703703340 is an abundant number, since it is smaller than the sum of its proper divisors (7130796756).

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

3703703340 is a wasteful number, since it uses less digits than its factorization.

3703703340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 30.

The square root of 3703703340 is about 60858.0589568875. The cubic root of 3703703340 is about 1547.1962272260.

The spelling of 3703703340 in words is "three billion, seven hundred three million, seven hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1531 1753 3062 3506 4593 5259 6124 7012 7655 8765 9186 10518 15310 17530 18372 21036 22965 26295 30620 35060 35213 40319 45930 52590 70426 80638 91860 105180 105639 120957 140852 161276 176065 201595 211278 241914 352130 403190 422556 483828 528195 604785 704260 806380 1056390 1209570 2112780 2419140 2683843 5367686 8051529 10735372 13419215 16103058 26838430 32206116 40257645 53676860 61728389 80515290 123456778 161030580 185185167 246913556 308641945 370370334 617283890 740740668 925925835 1234567780 1851851670 3703703340