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434737242 = 232312832753
BaseRepresentation
bin11001111010011…
…001000001011010
31010022000221101100
4121322121001122
51342243042432
6111045532230
713526130342
oct3172310132
91108027340
10434737242
11203441585
12101714076
136c0b4894
1441a47d22
152827607c
hex19e9905a

434737242 has 48 divisors (see below), whose sum is σ = 976105728. Its totient is φ = 139691520.

The previous prime is 434737223. The next prime is 434737253. The reversal of 434737242 is 242737434.

It is a junction number, because it is equal to n+sod(n) for n = 434737197 and 434737206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156538 + ... + 159290.

It is an arithmetic number, because the mean of its divisors is an integer number (20335536).

Almost surely, 2434737242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434737242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488052864).

434737242 is an abundant number, since it is smaller than the sum of its proper divisors (541368486).

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

434737242 is a wasteful number, since it uses less digits than its factorization.

434737242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3072 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 434737242 is about 20850.3535221828. The cubic root of 434737242 is about 757.5458940269.

The spelling of 434737242 in words is "four hundred thirty-four million, seven hundred thirty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 283 558 566 849 1698 2547 2753 5094 5506 8259 8773 16518 17546 24777 26319 49554 52638 78957 85343 157914 170686 256029 512058 768087 779099 1536174 1558198 2337297 4674594 7011891 14023782 24152069 48304138 72456207 144912414 217368621 434737242