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434510142 = 231167971013
BaseRepresentation
bin11001111001100…
…001100100111110
31010021121101212020
4121321201210332
51342213311032
6111041021010
713524163263
oct3171414476
91107541766
10434510142
112032a69a0
12101624766
136c0353c1
14419c926a
152822db2c
hex19e6193e

434510142 has 64 divisors (see below), whose sum is σ = 973050624. Its totient is φ = 128240640.

The previous prime is 434510117. The next prime is 434510147. The reversal of 434510142 is 241015434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434510147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428428 + ... + 429440.

It is an arithmetic number, because the mean of its divisors is an integer number (15203916).

Almost surely, 2434510142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434510142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486525312).

434510142 is an abundant number, since it is smaller than the sum of its proper divisors (538540482).

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

434510142 is a wasteful number, since it uses less digits than its factorization.

434510142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 434510142 is about 20844.9068599502. The cubic root of 434510142 is about 757.4139609714.

Adding to 434510142 its reverse (241015434), we get a palindrome (675525576).

The spelling of 434510142 in words is "four hundred thirty-four million, five hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 97 134 194 201 291 402 582 737 1013 1067 1474 2026 2134 2211 3039 3201 4422 6078 6402 6499 11143 12998 19497 22286 33429 38994 66858 67871 71489 98261 135742 142978 196522 203613 214467 294783 407226 428934 589566 746581 1080871 1493162 2161742 2239743 3242613 4479486 6485226 6583487 13166974 19750461 39500922 72418357 144836714 217255071 434510142