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3340033434 = 2333111317657
BaseRepresentation
bin1100011100010100…
…1101110110011010
322121202212021112000
43013011031312122
523320022032214
61311232301430
7145524546543
oct30705156632
98552767460
103340033434
1114643a8611
127926a1876
13412c8b15a
1423983b4ca
1514835e809
hexc714dd9a

3340033434 has 64 divisors (see below), whose sum is σ = 7729966080. Its totient is φ = 1067834880.

The previous prime is 3340033393. The next prime is 3340033441. The reversal of 3340033434 is 4343300433.

It is a super-2 number, since 2×33400334342 = 22311646680475664712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3340033398 and 3340033407.

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 31 ways as a sum of consecutive naturals, for example, 180334 + ... + 197990.

It is an arithmetic number, because the mean of its divisors is an integer number (120780720).

Almost surely, 23340033434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340033434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864983040).

3340033434 is an abundant number, since it is smaller than the sum of its proper divisors (4389932646).

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

3340033434 is a wasteful number, since it uses less digits than its factorization.

3340033434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3340033434 is about 57793.0223642958. The cubic root of 3340033434 is about 1494.8017744435.

Adding to 3340033434 its reverse (4343300433), we get a palindrome (7683333867).

The spelling of 3340033434 in words is "three billion, three hundred forty million, thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 113 186 226 279 339 558 678 837 1017 1674 2034 3051 3503 6102 7006 10509 17657 21018 31527 35314 52971 63054 94581 105942 158913 189162 317826 476739 547367 953478 1094734 1642101 1995241 3284202 3990482 4926303 5985723 9852606 11971446 14778909 17957169 29557818 35914338 53871507 61852471 107743014 123704942 185557413 371114826 556672239 1113344478 1670016717 3340033434