Search a number
-
+
3093890940 = 2232572455469
BaseRepresentation
bin1011100001101001…
…0000011101111100
321222121200221111100
42320122100131330
522314014002230
61231000453100
7136445432130
oct27032203574
97877627440
103093890940
11134846a068
1272417a190
133a3c994ca
14214c873c0
1513193d660
hexb869077c

3093890940 has 72 divisors (see below), whose sum is σ = 10725492960. Its totient is φ = 707174784.

The previous prime is 3093890927. The next prime is 3093890941. The reversal of 3093890940 is 490983903.

3093890940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30938909402 = 19144322297228167200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093890941) 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, 1226475 + ... + 1228994.

It is an arithmetic number, because the mean of its divisors is an integer number (148965180).

Almost surely, 23093890940 is an apocalyptic number.

3093890940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3093890940 is an abundant number, since it is smaller than the sum of its proper divisors (7631602020).

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

3093890940 is a wasteful number, since it uses less digits than its factorization.

3093890940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455491 (or 2455486 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3093890940 is about 55622.7555951699. The cubic root of 3093890940 is about 1457.1412974938.

The spelling of 3093890940 in words is "three billion, ninety-three million, eight hundred ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2455469 4910938 7366407 9821876 12277345 14732814 17188283 22099221 24554690 29465628 34376566 36832035 44198442 49109380 51564849 68753132 73664070 85941415 88396884 103129698 110496105 147328140 154694547 171882830 206259396 220992210 257824245 309389094 343765660 441984420 515648490 618778188 773472735 1031296980 1546945470 3093890940