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434332134 = 232193171577
BaseRepresentation
bin11001111000110…
…110000111100110
31010021021100200100
4121320312013212
51342142112014
6111033124530
713522522305
oct3170660746
91107240610
10434332134
11203195185
12101559746
136bca2382
144198043c
15281e6009
hex19e361e6

434332134 has 96 divisors (see below), whose sum is σ = 1038735360. Its totient is φ = 130636800.

The previous prime is 434332127. The next prime is 434332177. The reversal of 434332134 is 431233434.

It is a junction number, because it is equal to n+sod(n) for n = 434332098 and 434332107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752454 + ... + 753030.

It is an arithmetic number, because the mean of its divisors is an integer number (10820160).

Almost surely, 2434332134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434332134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519367680).

434332134 is an abundant number, since it is smaller than the sum of its proper divisors (604403226).

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

434332134 is a wasteful number, since it uses less digits than its factorization.

434332134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 434332134 is about 20840.6366025609. The cubic root of 434332134 is about 757.3105156222.

Adding to 434332134 its reverse (431233434), we get a palindrome (865565568).

The spelling of 434332134 in words is "four hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 71 93 114 142 171 186 213 279 342 426 558 577 589 639 1154 1178 1278 1349 1731 1767 2201 2698 3462 3534 4047 4402 5193 5301 6603 8094 10386 10602 10963 12141 13206 17887 19809 21926 24282 32889 35774 39618 40967 41819 53661 65778 81934 83638 98667 107322 122901 125457 160983 197334 245802 250914 321966 339853 368703 376371 679706 737406 752742 778373 1019559 1269977 1556746 2039118 2335119 2539954 3058677 3809931 4670238 6117354 7005357 7619862 11429793 14010714 22859586 24129563 48259126 72388689 144777378 217166067 434332134