Search a number
-
+
7074632340 = 223454367057
BaseRepresentation
bin1101001011010111…
…00101001010010100
3200021001011120010000
412211223211022110
5103442101213330
63130001531300
7340213245156
oct64553451224
920231146100
107074632340
113000499a96
121455343b30
138899070a9
144b1826ad6
152b615c560
hex1a5ae5294

7074632340 has 60 divisors (see below), whose sum is σ = 22193388756. Its totient is φ = 1886568192.

The previous prime is 7074632321. The next prime is 7074632359. The reversal of 7074632340 is 432364707.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7074632321) and next prime (7074632359).

It can be written as a sum of positive squares in 2 ways, for example, as 5505046416 + 1569585924 = 74196^2 + 39618^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 7074632295 and 7074632304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2181909 + ... + 2185148.

Almost surely, 27074632340 is an apocalyptic number.

It is an amenable number.

7074632340 is an abundant number, since it is smaller than the sum of its proper divisors (15118756416).

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

7074632340 is a wasteful number, since it uses less digits than its factorization.

7074632340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367078 (or 4367067 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 7074632340 is about 84110.8336660623. The cubic root of 7074632340 is about 1919.7055700862.

The spelling of 7074632340 in words is "seven billion, seventy-four million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4367057 8734114 13101171 17468228 21835285 26202342 39303513 43670570 52404684 65505855 78607026 87341140 117910539 131011710 157214052 196517565 235821078 262023420 353731617 393035130 471642156 589552695 707463234 786070260 1179105390 1414926468 1768658085 2358210780 3537316170 7074632340