Search a number
-
+
3455483040 = 253252399641
BaseRepresentation
bin1100110111110110…
…0111110010100000
322220211002201121100
43031331213302200
524034100424130
61330514554400
7151426056402
oct31575476240
98824081540
103455483040
111513591609
12805298a00
13430b80b29
1424acd0b72
15153566c60
hexcdf67ca0

3455483040 has 72 divisors (see below), whose sum is σ = 11791840788. Its totient is φ = 921461760.

The previous prime is 3455482997. The next prime is 3455483041. The reversal of 3455483040 is 403845543.

3455483040 is a `hidden beast` number, since 3 + 45 + 548 + 30 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3444750864 + 10732176 = 58692^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3455482986 and 3455483004.

It is not an unprimeable number, because it can be changed into a prime (3455483041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198381 + ... + 1201260.

Almost surely, 23455483040 is an apocalyptic number.

3455483040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455483040 is an abundant number, since it is smaller than the sum of its proper divisors (8336357748).

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

3455483040 is a wasteful number, since it uses less digits than its factorization.

3455483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399662 (or 2399651 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3455483040 is about 58783.3568282724. The cubic root of 3455483040 is about 1511.8298708386.

The spelling of 3455483040 in words is "three billion, four hundred fifty-five million, four hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2399641 4799282 7198923 9598564 11998205 14397846 19197128 21596769 23996410 28795692 35994615 38394256 43193538 47992820 57591384 71989230 76788512 86387076 95985640 107983845 115182768 143978460 172774152 191971280 215967690 230365536 287956920 345548304 383942560 431935380 575913840 691096608 863870760 1151827680 1727741520 3455483040