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153234240 = 26351931271
BaseRepresentation
bin10010010001000…
…10101101000000
3101200100002212020
421020202231000
5303211443430
623112201440
73540320025
oct1110425500
9350302766
10153234240
1179551175
1243399280
1325992063
14164cb54c
15d6bcb10
hex9222b40

153234240 has 224 divisors, whose sum is σ = 530595840. Its totient is φ = 37324800.

The previous prime is 153234239. The next prime is 153234247. The reversal of 153234240 is 42432351.

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 153234240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153234247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565305 + ... + 565575.

Almost surely, 2153234240 is an apocalyptic number.

153234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265297920).

153234240 is an abundant number, since it is smaller than the sum of its proper divisors (377361600).

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

153234240 is a wasteful number, since it uses less digits than its factorization.

153234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

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

The square root of 153234240 is about 12378.7818463692. The cubic root of 153234240 is about 535.1209322802.

Adding to 153234240 its reverse (42432351), we get a palindrome (195666591).

The spelling of 153234240 in words is "one hundred fifty-three million, two hundred thirty-four thousand, two hundred forty".