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349742412 = 223267831747
BaseRepresentation
bin10100110110001…
…010010101001100
3220101002202101200
4110312022111030
51204013224122
654412105500
711444522115
oct2466122514
9811082350
10349742412
1116a469718
1299165290
13575c5b96
143464120c
1520a875ac
hex14d8a54c

349742412 has 72 divisors (see below), whose sum is σ = 908596416. Its totient is φ = 113392224.

The previous prime is 349742357. The next prime is 349742413. The reversal of 349742412 is 214247943.

349742412 is a `hidden beast` number, since 349 + 74 + 241 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (349742413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199323 + ... + 201069.

Almost surely, 2349742412 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 349742412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454298208).

349742412 is an abundant number, since it is smaller than the sum of its proper divisors (558854004).

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

349742412 is a wasteful number, since it uses less digits than its factorization.

349742412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1902 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 349742412 is about 18701.4013378677. The cubic root of 349742412 is about 704.5569451017.

The spelling of 349742412 in words is "three hundred forty-nine million, seven hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 83 134 166 201 249 268 332 402 498 603 747 804 996 1206 1494 1747 2412 2988 3494 5241 5561 6988 10482 11122 15723 16683 20964 22244 31446 33366 50049 62892 66732 100098 117049 145001 200196 234098 290002 351147 435003 468196 580004 702294 870006 1053441 1305009 1404588 1740012 2106882 2610018 4213764 5220036 9715067 19430134 29145201 38860268 58290402 87435603 116580804 174871206 349742412