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340540035552 = 25329712190007
BaseRepresentation
bin1001111010010011100…
…01001001000111100000
31012112222211011012202100
410331021301021013200
521034411222114202
6420235242450400
733413620353663
oct4751161110740
91175884135670
10340540035552
11121470a77012
1255bba203a00
1326160a43022
14126a73276da
158cd17bb41c
hex4f49c491e0

340540035552 has 72 divisors (see below), whose sum is σ = 978394422096. Its totient is φ = 112343095296.

The previous prime is 340540035551. The next prime is 340540035553. The reversal of 340540035552 is 255530045043.

340540035552 is a `hidden beast` number, since 34 + 0 + 5 + 40 + 0 + 35 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (340540035551) and next prime (340540035553).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340540035551) by changing a digit.

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, 6067068 + ... + 6122939.

It is an arithmetic number, because the mean of its divisors is an integer number (13588811418).

Almost surely, 2340540035552 is an apocalyptic number.

340540035552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340540035552 is an abundant number, since it is smaller than the sum of its proper divisors (637854386544).

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

340540035552 is a wasteful number, since it uses less digits than its factorization.

340540035552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190120 (or 12190109 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 340540035552 in words is "three hundred forty billion, five hundred forty million, thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 12190007 24380014 36570021 48760028 73140042 97520056 109710063 146280084 195040112 219420126 292560168 390080224 438840252 585120336 877680504 1170240672 1182430679 1755361008 2364861358 3510722016 3547292037 4729722716 7094584074 9459445432 10641876111 14189168148 18918890864 21283752222 28378336296 37837781728 42567504444 56756672592 85135008888 113513345184 170270017776 340540035552