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340414203132 = 223253511767137
BaseRepresentation
bin1001111010000100100…
…01001000010011111100
31012112200001101021010100
410331002101020103330
521034132014000012
6420214545441100
733410531661423
oct4750221102374
91175601337110
10340414203132
11121406a41283
1255b84040190
1326140956483
14126947302ba
158cc57128dc
hex4f424484fc

340414203132 has 36 divisors (see below), whose sum is σ = 860652754416. Its totient is φ = 113450131200.

The previous prime is 340414203097. The next prime is 340414203179. The reversal of 340414203132 is 231302414043.

340414203132 is a `hidden beast` number, since 3 + 40 + 414 + 203 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 340414203096 and 340414203105.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 690933 + ... + 1076204.

It is an arithmetic number, because the mean of its divisors is an integer number (23907020956).

Almost surely, 2340414203132 is an apocalyptic number.

It is an amenable number.

340414203132 is an abundant number, since it is smaller than the sum of its proper divisors (520238551284).

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

340414203132 is a wasteful number, since it uses less digits than its factorization.

340414203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772498 (or 1772493 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 340414203132 its reverse (231302414043), we get a palindrome (571716617175).

The spelling of 340414203132 in words is "three hundred forty billion, four hundred fourteen million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5351 10702 16053 21404 32106 48159 64212 96318 192636 1767137 3534274 5301411 7068548 10602822 15904233 21205644 31808466 63616932 9455950087 18911900174 28367850261 37823800348 56735700522 85103550783 113471401044 170207101566 340414203132