Search a number
-
+
3003401040 = 243573171427
BaseRepresentation
bin1011001100000100…
…0100001101010000
321202022102120200120
42303001010031100
522122332313130
61214005150240
7134266326153
oct26301041520
97668376616
103003401040
111301383722
126b99bb380
1338b3055a3
14206c4dc9a
15128a16910
hexb3044350

3003401040 has 80 divisors (see below), whose sum is σ = 9438139968. Its totient is φ = 789931008.

The previous prime is 3003400997. The next prime is 3003401053. The reversal of 3003401040 is 401043003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68194 + ... + 103233.

Almost surely, 23003401040 is an apocalyptic number.

3003401040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3003401040 is an abundant number, since it is smaller than the sum of its proper divisors (6434738928).

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

3003401040 is a wasteful number, since it uses less digits than its factorization.

3003401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171516 (or 171510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3003401040 is about 54803.2940615799. The cubic root of 3003401040 is about 1442.7943809765.

Adding to 3003401040 its reverse (401043003), we get a palindrome (3404444043).

The spelling of 3003401040 in words is "three billion, three million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 171427 342854 514281 685708 857135 1028562 1371416 1714270 2057124 2571405 2742832 3428540 4114248 5142810 6857080 8228496 10285620 12514171 13714160 20571240 25028342 37542513 41142480 50056684 62570855 75085026 100113368 125141710 150170052 187712565 200226736 250283420 300340104 375425130 500566840 600680208 750850260 1001133680 1501700520 3003401040