Search a number
-
+
340135392480 = 25351354508877
BaseRepresentation
bin1001111001100011010…
…01100011010011100000
31012111221121202012210220
410330301221203103200
521033044130024410
6420131145523040
733400605063402
oct4746151432340
91174847665726
10340135392480
1112128361a754
1255b067a3480
13260c7c67260
14126696b4b72
158caaedc070
hex4f31a634e0

340135392480 has 96 divisors (see below), whose sum is σ = 1153843929504. Its totient is φ = 83725633536.

The previous prime is 340135392397. The next prime is 340135392529. The reversal of 340135392480 is 84293531043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27248199 + ... + 27260678.

It is an arithmetic number, because the mean of its divisors is an integer number (12019207599).

Almost surely, 2340135392480 is an apocalyptic number.

340135392480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340135392480 is an abundant number, since it is smaller than the sum of its proper divisors (813708537024).

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

340135392480 is a wasteful number, since it uses less digits than its factorization.

340135392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54508908 (or 54508900 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 340135392480 in words is "three hundred forty billion, one hundred thirty-five million, three hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 54508877 109017754 163526631 218035508 272544385 327053262 436071016 545088770 654106524 708615401 817633155 872142032 1090177540 1308213048 1417230802 1635266310 1744284064 2125846203 2180355080 2616426096 2834461604 3270532620 3543077005 4251692406 4360710160 5232852192 5668923208 6541065240 7086154010 8503384812 8721420320 10629231015 11337846416 13082130480 14172308020 17006769624 21258462030 22675692832 26164260960 28344616040 34013539248 42516924060 56689232080 68027078496 85033848120 113378464160 170067696240 340135392480