Search a number
-
+
1002434352 = 243311634133
BaseRepresentation
bin111011101111111…
…110111100110000
32120212020221102020
4323233332330300
54023110344402
6243245351440
733561360063
oct7357767460
92525227366
101002434352
11474936847
1223b868580
1312c8b022a
14971c28da
155d0128bc
hex3bbfef30

1002434352 has 80 divisors (see below), whose sum is σ = 2690208768. Its totient is φ = 321304320.

The previous prime is 1002434351. The next prime is 1002434417. The reversal of 1002434352 is 2534342001.

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

It is not an unprimeable number, because it can be changed into a prime (1002434351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240478 + ... + 244610.

Almost surely, 21002434352 is an apocalyptic number.

1002434352 is a gapful number since it is divisible by the number (12) 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 1002434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345104384).

1002434352 is an abundant number, since it is smaller than the sum of its proper divisors (1687774416).

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

1002434352 is a wasteful number, since it uses less digits than its factorization.

1002434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

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

The square root of 1002434352 is about 31661.2436900385. The cubic root of 1002434352 is about 1000.8107931035.

Adding to 1002434352 its reverse (2534342001), we get a palindrome (3536776353).

The spelling of 1002434352 in words is "one billion, two million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 163 186 248 326 372 489 496 652 744 978 1304 1488 1956 2608 3912 4133 5053 7824 8266 10106 12399 15159 16532 20212 24798 30318 33064 40424 49596 60636 66128 80848 99192 121272 128123 198384 242544 256246 384369 512492 673679 768738 1024984 1347358 1537476 2021037 2049968 2694716 3074952 4042074 5389432 6149904 8084148 10778864 16168296 20884049 32336592 41768098 62652147 83536196 125304294 167072392 250608588 334144784 501217176 1002434352