Search a number
-
+
33374001040 = 245417175013
BaseRepresentation
bin11111000101001111…
…101101011110010000
310012010220001220200121
4133011033231132100
51021322221013130
623155400400024
72261016220402
oct370517553620
9105126056617
1033374001040
1113176831a46
126574a76014
1331bb3b7113
1418885a8b72
15d04e47d7a
hex7c53ed790

33374001040 has 20 divisors (see below), whose sum is σ = 77594552604. Its totient is φ = 13349600384.

The previous prime is 33374001013. The next prime is 33374001041. The reversal of 33374001040 is 4010047333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7254269584 + 26119731456 = 85172^2 + 161616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×333740010402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33374000996 and 33374001014.

It is not an unprimeable number, because it can be changed into a prime (33374001041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208587427 + ... + 208587586.

Almost surely, 233374001040 is an apocalyptic number.

It is an amenable number.

33374001040 is an abundant number, since it is smaller than the sum of its proper divisors (44220551564).

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

33374001040 is a wasteful number, since it uses less digits than its factorization.

33374001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417175026 (or 417175020 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

Adding to 33374001040 its reverse (4010047333), we get a palindrome (37384048373).

The spelling of 33374001040 in words is "thirty-three billion, three hundred seventy-four million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 417175013 834350026 1668700052 2085875065 3337400104 4171750130 6674800208 8343500260 16687000520 33374001040