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1406426346 = 2321367109823
BaseRepresentation
bin101001111010100…
…0101110011101010
310122000102212020200
41103311011303222
510340021120341
6351320333030
746565266233
oct12365056352
93560385220
101406426346
11661988a26
12333014176
131954bb850
14d4b0608a
1583713db6
hex53d45cea

1406426346 has 96 divisors (see below), whose sum is σ = 3365281920. Its totient is φ = 421863552.

The previous prime is 1406426323. The next prime is 1406426387. The reversal of 1406426346 is 6436246041.

1406426346 is a `hidden beast` number, since 1 + 4 + 0 + 642 + 6 + 3 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1406426346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1708491 + ... + 1709313.

It is an arithmetic number, because the mean of its divisors is an integer number (35055020).

Almost surely, 21406426346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406426346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682640960).

1406426346 is an abundant number, since it is smaller than the sum of its proper divisors (1958855574).

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

1406426346 is a wasteful number, since it uses less digits than its factorization.

1406426346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1406426346 is about 37502.3512062911. The cubic root of 1406426346 is about 1120.3980159590.

The spelling of 1406426346 in words is "one billion, four hundred six million, four hundred twenty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 109 117 134 201 218 234 327 402 603 654 823 871 981 1206 1417 1646 1742 1962 2469 2613 2834 4251 4938 5226 7303 7407 7839 8502 10699 12753 14606 14814 15678 21398 21909 25506 32097 43818 55141 64194 65727 89707 94939 96291 110282 131454 165423 179414 189878 192582 269121 284817 330846 496269 538242 569634 716833 807363 854451 992538 1166191 1433666 1614726 1708902 2150499 2332382 3498573 4300998 6010369 6451497 6997146 10495719 12020738 12902994 18031107 20991438 36062214 54093321 78134797 108186642 156269594 234404391 468808782 703213173 1406426346