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153434040 = 23351278617
BaseRepresentation
bin10010010010100…
…11011110111000
3101200201020221020
421021103132320
5303234342130
623120342440
73542111364
oct1111233670
9350636836
10153434040
11796782a1
1243474a20
1325a31c96
14165402a4
15d70be10
hex92537b8

153434040 has 32 divisors (see below), whose sum is σ = 460302480. Its totient is φ = 40915712.

The previous prime is 153434003. The next prime is 153434167. The reversal of 153434040 is 40434351.

153434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639189 + ... + 639428.

Almost surely, 2153434040 is an apocalyptic number.

153434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153434040 is an abundant number, since it is smaller than the sum of its proper divisors (306868440).

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

153434040 is a wasteful number, since it uses less digits than its factorization.

153434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278631 (or 1278627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 153434040 is about 12386.8494783783. The cubic root of 153434040 is about 535.3534101882.

Adding to 153434040 its reverse (40434351), we get a palindrome (193868391).

The spelling of 153434040 in words is "one hundred fifty-three million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1278617 2557234 3835851 5114468 6393085 7671702 10228936 12786170 15343404 19179255 25572340 30686808 38358510 51144680 76717020 153434040