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349974230424 = 2337132331379593
BaseRepresentation
bin1010001011111000001…
…01101111010110011000
31020110100022020222011020
411011330011233112120
521213221400333144
6424435334202440
734166454606210
oct5057405572630
91213308228136
10349974230424
11125472369285
12579b17b3420
1327005448060
1412d20285240
159184b63419
hex517c16f598

349974230424 has 512 divisors, whose sum is σ = 1164931891200. Its totient is φ = 85070684160.

The previous prime is 349974230383. The next prime is 349974230443. The reversal of 349974230424 is 424032479943.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 590175472 + ... + 590176064.

It is an arithmetic number, because the mean of its divisors is an integer number (2275257600).

Almost surely, 2349974230424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349974230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582465945600).

349974230424 is an abundant number, since it is smaller than the sum of its proper divisors (814957660776).

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

349974230424 is a wasteful number, since it uses less digits than its factorization.

349974230424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 349974230424 in words is "three hundred forty-nine billion, nine hundred seventy-four million, two hundred thirty thousand, four hundred twenty-four".