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3134233232 = 2413292292269
BaseRepresentation
bin1011101011010000…
…1001101010010000
322002102121112201022
42322310021222100
522404330430412
61235001255012
7140445354134
oct27264115220
98072545638
103134233232
1113692138a9
12735794468
133ac452aa0
1421a3893c4
1513525ba72
hexbad09a90

3134233232 has 80 divisors (see below), whose sum is σ = 6797742000. Its totient is φ = 1389975552.

The previous prime is 3134233199. The next prime is 3134233273. The reversal of 3134233232 is 2323324313.

It can be written as a sum of positive squares in 8 ways, for example, as 138203536 + 2996029696 = 11756^2 + 54736^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380194 + ... + 1382462.

It is an arithmetic number, because the mean of its divisors is an integer number (84971775).

Almost surely, 23134233232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398871000).

3134233232 is an abundant number, since it is smaller than the sum of its proper divisors (3663508768).

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

3134233232 is a wasteful number, since it uses less digits than its factorization.

3134233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its digits is 7776, while the sum is 26.

The square root of 3134233232 is about 55984.2230632881. The cubic root of 3134233232 is about 1463.4473537912.

Adding to 3134233232 its reverse (2323324313), we get a palindrome (5457557545).

The spelling of 3134233232 in words is "three billion, one hundred thirty-four million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 229 232 377 458 464 754 916 1508 1832 2269 2977 3016 3664 4538 5954 6032 6641 9076 11908 13282 18152 23816 26564 29497 36304 47632 53128 58994 65801 86333 106256 117988 131602 172666 235976 263204 345332 471952 519601 526408 690664 855413 1039202 1052816 1381328 1710826 2078404 3421652 4156808 6754813 6843304 8313616 13509626 13686608 15068429 27019252 30136858 54038504 60273716 108077008 120547432 195889577 241094864 391779154 783558308 1567116616 3134233232