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340032414501 = 321319001152953
BaseRepresentation
bin1001111001010111000…
…00101110001100100101
31012111200102222101120200
410330223200232030211
521032341244231001
6420113030421113
733365214556143
oct4745340561445
91174612871520
10340032414501
1112123048488a
1255a98201799
13260ac820140
1412659b4a593
158ca1e4a086
hex4f2b82e325

340032414501 has 24 divisors (see below), whose sum is σ = 528970607256. Its totient is φ = 209238336000.

The previous prime is 340032414487. The next prime is 340032414521. The reversal of 340032414501 is 105414230043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10557562500 + 329474852001 = 102750^2 + 573999^2 .

It is not a de Polignac number, because 340032414501 - 210 = 340032413477 is a prime.

It is a super-2 number, since 2×3400324145012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340032414521) by changing a digit.

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, 2146641 + ... + 2299593.

It is an arithmetic number, because the mean of its divisors is an integer number (22040441969).

Almost surely, 2340032414501 is an apocalyptic number.

It is an amenable number.

340032414501 is a deficient number, since it is larger than the sum of its proper divisors (188938192755).

340032414501 is a wasteful number, since it uses less digits than its factorization.

340032414501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171973 (or 171970 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 340032414501 its reverse (105414230043), we get a palindrome (445446644544).

The spelling of 340032414501 in words is "three hundred forty billion, thirty-two million, four hundred fourteen thousand, five hundred one".

Divisors: 1 3 9 13 39 117 19001 57003 152953 171009 247013 458859 741039 1376577 1988389 2223117 5965167 17895501 2906259953 8718779859 26156339577 37781379389 113344138167 340032414501