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1401014034 = 2327411032633
BaseRepresentation
bin101001110000001…
…1100011100010010
310121122020212221200
41103200130130102
510332124422114
6351004332030
746501265010
oct12340343422
93548225850
101401014034
11659921642
12331244016
131943451b4
14d40d78b0
1582ee5409
hex5381c712

1401014034 has 96 divisors (see below), whose sum is σ = 3589657344. Its totient is φ = 386588160.

The previous prime is 1401014033. The next prime is 1401014057. The reversal of 1401014034 is 4304101041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1401013998 and 1401014016.

It is not an unprimeable number, because it can be changed into a prime (1401014033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530782 + ... + 533414.

It is an arithmetic number, because the mean of its divisors is an integer number (37392264).

Almost surely, 21401014034 is an apocalyptic number.

1401014034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401014034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794828672).

1401014034 is an abundant number, since it is smaller than the sum of its proper divisors (2188643310).

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

1401014034 is a wasteful number, since it uses less digits than its factorization.

1401014034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1401014034 is about 37430.1220142281. The cubic root of 1401014034 is about 1118.9589694266.

Adding to 1401014034 its reverse (4304101041), we get a palindrome (5705115075).

The spelling of 1401014034 in words is "one billion, four hundred one million, fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 103 123 126 206 246 287 309 369 574 618 721 738 861 927 1442 1722 1854 2163 2583 2633 4223 4326 5166 5266 6489 7899 8446 12669 12978 15798 18431 23697 25338 29561 36862 38007 47394 55293 59122 76014 88683 107953 110586 165879 177366 215906 266049 271199 323859 331758 532098 542398 647718 755671 813597 971577 1511342 1627194 1898393 1943154 2267013 2440791 3796786 4534026 4881582 5695179 6801039 11119159 11390358 13602078 17085537 22238318 33357477 34171074 66714954 77834113 100072431 155668226 200144862 233502339 467004678 700507017 1401014034