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345351334420 = 225137126040633
BaseRepresentation
bin1010000011010001000…
…10110010101000010100
31020000102010110112000201
411001220202302220110
521124234420200140
6422352513350244
733644061623251
oct5015042625024
91200363415021
10345351334420
1112350a909074
1256b21568384
1326749772431
1412a02308428
158eb3d9b49a
hex50688b2a14

345351334420 has 24 divisors (see below), whose sum is σ = 730531514664. Its totient is φ = 137132207616.

The previous prime is 345351334403. The next prime is 345351334429. The reversal of 345351334420 is 24433153543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 111345011856 + 234006322564 = 333684^2 + 483742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345351334420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345351334429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63017577 + ... + 63023056.

It is an arithmetic number, because the mean of its divisors is an integer number (30438813111).

Almost surely, 2345351334420 is an apocalyptic number.

It is an amenable number.

345351334420 is an abundant number, since it is smaller than the sum of its proper divisors (385180180244).

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

345351334420 is a wasteful number, since it uses less digits than its factorization.

345351334420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126040779 (or 126040777 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 345351334420 its reverse (24433153543), we get a palindrome (369784487963).

The spelling of 345351334420 in words is "three hundred forty-five billion, three hundred fifty-one million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 126040633 252081266 504162532 630203165 1260406330 2520812660 17267566721 34535133442 69070266884 86337833605 172675667210 345351334420