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340004344020 = 223511643801179
BaseRepresentation
bin1001111001010011101…
…01101001000011010100
31012111121111011021010020
410330221311221003110
521032312103002040
6420110145025140
733364424145045
oct4745165510324
91174544137106
10340004344020
11121216652040
1255a8a9251b0
13260a6a724a3
14126561208cc
158c9e752cd0
hex4f29d690d4

340004344020 has 96 divisors (see below), whose sum is σ = 1040175198720. Its totient is φ = 82297004160.

The previous prime is 340004344007. The next prime is 340004344033. The reversal of 340004344020 is 20443400043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340004344007) and next prime (340004344033).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23791 + ... + 824969.

It is an arithmetic number, because the mean of its divisors is an integer number (10835158320).

Almost surely, 2340004344020 is an apocalyptic number.

340004344020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340004344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520087599360).

340004344020 is an abundant number, since it is smaller than the sum of its proper divisors (700170854700).

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

340004344020 is a wasteful number, since it uses less digits than its factorization.

340004344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801845 (or 801843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 340004344020 its reverse (20443400043), we get a palindrome (360447744063).

The spelling of 340004344020 in words is "three hundred forty billion, four million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 643 660 1286 1929 2572 3215 3858 6430 7073 7716 9645 12860 14146 19290 21219 28292 35365 38580 42438 70730 84876 106095 141460 212190 424380 801179 1602358 2403537 3204716 4005895 4807074 8011790 8812969 9614148 12017685 16023580 17625938 24035370 26438907 35251876 44064845 48070740 52877814 88129690 105755628 132194535 176259380 264389070 515158097 528778140 1030316194 1545474291 2060632388 2575790485 3090948582 5151580970 5666739067 6181897164 7727371455 10303161940 11333478134 15454742910 17000217201 22666956268 28333695335 30909485820 34000434402 56667390670 68000868804 85001086005 113334781340 170002172010 340004344020