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2342013312 = 27319331601
BaseRepresentation
bin1000101110011000…
…0100100110000000
320001012220121021210
42023212010212000
514244023411222
61024221250120
7112015533102
oct21346044600
96035817253
102342013312
11aa20072a1
12554403940
132b42951c2
14183087572
15da91ed0c
hex8b984980

2342013312 has 64 divisors (see below), whose sum is σ = 6253403760. Its totient is φ = 776601600.

The previous prime is 2342013307. The next prime is 2342013353. The reversal of 2342013312 is 2133102432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58312 + ... + 89912.

Almost surely, 22342013312 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 2342013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126701880).

2342013312 is an abundant number, since it is smaller than the sum of its proper divisors (3911390448).

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

2342013312 is a wasteful number, since it uses less digits than its factorization.

2342013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31811 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2342013312 is about 48394.3520671576. The cubic root of 2342013312 is about 1327.9950403841.

Adding to 2342013312 its reverse (2133102432), we get a palindrome (4475115744).

The spelling of 2342013312 in words is "two billion, three hundred forty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 31601 37056 63202 74112 94803 126404 189606 252808 379212 505616 758424 1011232 1516848 2022464 3033696 4044928 6067392 6098993 12134784 12197986 18296979 24395972 36593958 48791944 73187916 97583888 146375832 195167776 292751664 390335552 585503328 780671104 1171006656 2342013312