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153241434 = 232171493361
BaseRepresentation
bin10010010001001…
…00011101011010
3101200100110201200
421020210131122
5303212211214
623112255030
73540350013
oct1110443532
9350313650
10153241434
1179556615
12433a1476
1325995408
14164d000a
15d6bed09
hex922475a

153241434 has 48 divisors (see below), whose sum is σ = 354018600. Its totient is φ = 47738880.

The previous prime is 153241411. The next prime is 153241483. The reversal of 153241434 is 434142351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136960209 + 16281225 = 11703^2 + 4035^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153241398 and 153241407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43914 + ... + 47274.

Almost surely, 2153241434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153241434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177009300).

153241434 is an abundant number, since it is smaller than the sum of its proper divisors (200777166).

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

153241434 is a wasteful number, since it uses less digits than its factorization.

153241434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3532 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 153241434 is about 12379.0724208238. The cubic root of 153241434 is about 535.1293063872.

Adding to 153241434 its reverse (434142351), we get a palindrome (587383785).

The spelling of 153241434 in words is "one hundred fifty-three million, two hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 447 894 1341 2533 2682 3361 5066 6722 7599 10083 15198 20166 22797 30249 45594 57137 60498 114274 171411 342822 500789 514233 1001578 1028466 1502367 3004734 4507101 8513413 9014202 17026826 25540239 51080478 76620717 153241434