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2354134024 = 23111713911321
BaseRepresentation
bin1000110001010001…
…0011110000001000
320002001201101210001
42030110103300020
514310124242044
61025333132344
7112223544334
oct21424236010
96061641701
102354134024
11aa8935810
1255848a0b4
132b694a118
141849207c4
15dba162d4
hex8c513c08

2354134024 has 64 divisors (see below), whose sum is σ = 5135659200. Its totient is φ = 999782400.

The previous prime is 2354133997. The next prime is 2354134039. The reversal of 2354134024 is 4204314532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2354133983 and 2354134001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202284 + ... + 213604.

It is an arithmetic number, because the mean of its divisors is an integer number (80244675).

Almost surely, 22354134024 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 2354134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567829600).

2354134024 is an abundant number, since it is smaller than the sum of its proper divisors (2781525176).

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

2354134024 is a wasteful number, since it uses less digits than its factorization.

2354134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2354134024 is about 48519.4190402152. The cubic root of 2354134024 is about 1330.2820409265.

Adding to 2354134024 its reverse (4204314532), we get a palindrome (6558448556).

The spelling of 2354134024 in words is "two billion, three hundred fifty-four million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 139 187 278 374 556 748 1112 1496 1529 2363 3058 4726 6116 9452 11321 12232 18904 22642 25993 45284 51986 90568 103972 124531 192457 207944 249062 384914 498124 769828 996248 1539656 1573619 2117027 3147238 4234054 6294476 8468108 12588952 16936216 17309809 26751523 34619618 53503046 69239236 107006092 138478472 214012184 294266753 588533506 1177067012 2354134024