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340344004 = 2272111312143
BaseRepresentation
bin10100010010010…
…011110011000100
3212201102021012111
4110102103303010
51144112002004
653434430404
711301606400
oct2422236304
9781367174
10340344004
1116512a540
1295b92404
13556850b0
14332b6100
151ed2ca04
hex14493cc4

340344004 has 72 divisors (see below), whose sum is σ = 814036608. Its totient is φ = 122391360.

The previous prime is 340344001. The next prime is 340344047. The reversal of 340344004 is 400443043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (340344001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21957 + ... + 34099.

It is an arithmetic number, because the mean of its divisors is an integer number (11306064).

Almost surely, 2340344004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407018304).

340344004 is an abundant number, since it is smaller than the sum of its proper divisors (473692604).

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

340344004 is a wasteful number, since it uses less digits than its factorization.

340344004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 340344004 is about 18448.4146744375. The cubic root of 340344004 is about 698.1885162245.

Adding to 340344004 its reverse (400443043), we get a palindrome (740787047).

The spelling of 340344004 in words is "three hundred forty million, three hundred forty-four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 12143 14014 24286 28028 48572 85001 133573 157859 170002 267146 315718 340004 534292 595007 631436 935011 1105013 1190014 1736449 1870022 2210026 2380028 3472898 3740044 4420052 6545077 6945796 7735091 12155143 13090154 15470182 24310286 26180308 30940364 48620572 85086001 170172002 340344004