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1385233326 = 234311132441
BaseRepresentation
bin101001010010000…
…1111101110101110
310120112120010220000
41102210033232232
510314104431301
6345242205130
746220201061
oct12244175656
93515503800
101385233326
11650a23334
12327ab37a6
13190cab3b9
14d1d8a8d8
1581929786
hex5290fbae

1385233326 has 80 divisors (see below), whose sum is σ = 3233755008. Its totient is φ = 442713600.

The previous prime is 1385233307. The next prime is 1385233393. The reversal of 1385233326 is 6233325831.

It is a super-2 number, since 2×13852333262 = 3837742734922044552, which contains 22 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 566266 + ... + 568706.

Almost surely, 21385233326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385233326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616877504).

1385233326 is an abundant number, since it is smaller than the sum of its proper divisors (1848521682).

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

1385233326 is a wasteful number, since it uses less digits than its factorization.

1385233326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2590 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1385233326 is about 37218.7227884032. The cubic root of 1385233326 is about 1114.7418617230.

The spelling of 1385233326 in words is "one billion, three hundred eighty-five million, two hundred thirty-three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 113 162 186 226 279 339 558 678 837 1017 1674 2034 2441 2511 3051 3503 4882 5022 6102 7006 7323 9153 10509 14646 18306 21018 21969 31527 43938 63054 65907 75671 94581 131814 151342 189162 197721 227013 275833 283743 395442 454026 551666 567486 681039 827499 1362078 1654998 2043117 2482497 4086234 4964994 6129351 7447491 8550823 12258702 14894982 17101646 22342473 25652469 44684946 51304938 76957407 153914814 230872221 461744442 692616663 1385233326