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340001003400 = 233524113821179
BaseRepresentation
bin1001111001010011010…
…00111001011110001000
31012111121020212112122120
410330221220321132020
521032310224102100
6420105545251240
733364353562452
oct4745150713610
91174536775576
10340001003400
111212147801a3
1255a89793b20
13260a6172aa6
14126558d12d2
158c9e2e30a0
hex4f29a39788

340001003400 has 96 divisors (see below), whose sum is σ = 1079710581600. Its totient is φ = 88455539200.

The previous prime is 340001003317. The next prime is 340001003423. The reversal of 340001003400 is 4300100043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340001003400.

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 23 ways as a sum of consecutive naturals, for example, 6885990 + ... + 6935189.

It is an arithmetic number, because the mean of its divisors is an integer number (11246985225).

Almost surely, 2340001003400 is an apocalyptic number.

340001003400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340001003400 is an abundant number, since it is smaller than the sum of its proper divisors (739709578200).

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

340001003400 is a wasteful number, since it uses less digits than its factorization.

340001003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821239 (or 13821230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 340001003400 its reverse (4300100043), we get a palindrome (344301103443).

The spelling of 340001003400 in words is "three hundred forty billion, one million, three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 13821179 27642358 41463537 55284716 69105895 82927074 110569432 138211790 165854148 207317685 276423580 331708296 345529475 414635370 552847160 566668339 691058950 829270740 1036588425 1133336678 1382117900 1658541480 1700005017 2073176850 2266673356 2764235800 2833341695 3400010034 4146353700 4533346712 5666683390 6800020068 8292707400 8500025085 11333366780 13600040136 14166708475 17000050170 22666733560 28333416950 34000100340 42500125425 56666833900 68000200680 85000250850 113333667800 170000501700 340001003400