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1344658601 = 11213531272
BaseRepresentation
bin101000000100101…
…1101110010101001
310110201012201211102
41100021131302221
510223213033401
6341232411145
745215260316
oct12011356251
93421181742
101344658601
1163002aa00
123163a6ab5
131857730a0
14ca827d0d
157d0b256b
hex5025dca9

1344658601 has 36 divisors (see below), whose sum is σ = 1634608836. Its totient is φ = 1098377280.

The previous prime is 1344658597. The next prime is 1344658603. The reversal of 1344658601 is 1068564431.

It can be written as a sum of positive squares in 2 ways, for example, as 564015001 + 780643600 = 23749^2 + 27940^2 .

It is not a de Polignac number, because 1344658601 - 22 = 1344658597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344658603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10587800 + ... + 10587926.

It is an arithmetic number, because the mean of its divisors is an integer number (45405801).

Almost surely, 21344658601 is an apocalyptic number.

1344658601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344658601 is a deficient number, since it is larger than the sum of its proper divisors (289950235).

1344658601 is a wasteful number, since it uses less digits than its factorization.

1344658601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1344658601 is about 36669.5868670483. The cubic root of 1344658601 is about 1103.7499020507.

The spelling of 1344658601 in words is "one billion, three hundred forty-four million, six hundred fifty-eight thousand, six hundred one".

Divisors: 1 11 13 53 121 127 143 583 689 1397 1573 1651 6413 6731 7579 15367 16129 18161 74041 83369 87503 177419 199771 209677 814451 854837 962533 1951609 2306447 9403207 10587863 11112881 25370917 103435277 122241691 1344658601