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340001003040 = 25351923136833
BaseRepresentation
bin1001111001010011010…
…00111001011000100000
31012111121020212112011020
410330221220321120200
521032310224044130
6420105545245440
733364353561426
oct4745150713040
91174536775136
10340001003040
1112121477a9a6
1255a89793880
13260a617288a
14126558d1116
158c9e2e2e10
hex4f29a39620

340001003040 has 96 divisors (see below), whose sum is σ = 1071087929856. Its totient is φ = 90659758080.

The previous prime is 340001003029. The next prime is 340001003059. The reversal of 340001003040 is 40300100043.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 9212464 + ... + 9249296.

It is an arithmetic number, because the mean of its divisors is an integer number (11157165936).

Almost surely, 2340001003040 is an apocalyptic number.

340001003040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340001003040 is an abundant number, since it is smaller than the sum of its proper divisors (731086926816).

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

340001003040 is a wasteful number, since it uses less digits than its factorization.

340001003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56082 (or 56074 counting only the distinct ones).

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

Adding to 340001003040 its reverse (40300100043), we get a palindrome (380301103083).

The spelling of 340001003040 in words is "three hundred forty billion, one million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 19231 36833 38462 57693 73666 76924 96155 110499 115386 147332 153848 184165 192310 220998 230772 288465 294664 307696 368330 384620 441996 461544 552495 576930 589328 615392 736660 769240 883992 923088 1104990 1153860 1178656 1473320 1538480 1767984 1846176 2209980 2307720 2946640 3076960 3535968 4419960 4615440 5893280 8839920 9230880 17679840 708335423 1416670846 2125006269 2833341692 3541677115 4250012538 5666683384 7083354230 8500025076 10625031345 11333366768 14166708460 17000050152 21250062690 22666733536 28333416920 34000100304 42500125380 56666833840 68000200608 85000250760 113333667680 170000501520 340001003040