Search a number
-
+
3542314440 = 233574217041
BaseRepresentation
bin1101001100100011…
…0110110111001000
3100010212111012220010
43103020312313020
524223313030230
61343300031520
7153532114230
oct32310666710
910125435803
103542314440
1115585a92a5
1282a3925a0
13445b63762
14258654cc0
1515aeb99b0
hexd3236dc8

3542314440 has 64 divisors (see below), whose sum is σ = 12145080960. Its totient is φ = 809671680.

The previous prime is 3542314439. The next prime is 3542314493. The reversal of 3542314440 is 444132453.

3542314440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35423144403 (a number of 30 digits) contains 333 as substring.

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 = 3542314398 and 3542314407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107681 + ... + 2109360.

It is an arithmetic number, because the mean of its divisors is an integer number (189766890).

Almost surely, 23542314440 is an apocalyptic number.

3542314440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3542314440 is an abundant number, since it is smaller than the sum of its proper divisors (8602766520).

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

3542314440 is a wasteful number, since it uses less digits than its factorization.

3542314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217062 (or 4217058 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3542314440 is about 59517.3457069450. The cubic root of 3542314440 is about 1524.3886382172.

Adding to 3542314440 its reverse (444132453), we get a palindrome (3986446893).

The spelling of 3542314440 in words is "three billion, five hundred forty-two million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4217041 8434082 12651123 16868164 21085205 25302246 29519287 33736328 42170410 50604492 59038574 63255615 84340820 88557861 101208984 118077148 126511230 147596435 168681640 177115722 236154296 253022460 295192870 354231444 442789305 506044920 590385740 708462888 885578610 1180771480 1771157220 3542314440