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434070 = 232571353
BaseRepresentation
bin1101001111110010110
3211001102200
41221332112
5102342240
613145330
73455340
oct1517626
9731380
10434070
1127713a
1218b246
13122760
14b4290
1588930
hex69f96

434070 has 96 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 89856.

The previous prime is 434039. The next prime is 434081. The reversal of 434070 is 70434.

434070 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434070.

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, 8164 + ... + 8216.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2434070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

434070 is an abundant number, since it is smaller than the sum of its proper divisors (981162).

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

434070 is a wasteful number, since it uses less digits than its factorization.

434070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 434070 is about 658.8398895028. The cubic root of 434070 is about 75.7158130869.

The spelling of 434070 in words is "four hundred thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 53 63 65 70 78 90 91 105 106 117 126 130 159 182 195 210 234 265 273 315 318 371 390 455 477 530 546 585 630 689 742 795 819 910 954 1113 1170 1365 1378 1590 1638 1855 2067 2226 2385 2730 3339 3445 3710 4095 4134 4770 4823 5565 6201 6678 6890 8190 9646 10335 11130 12402 14469 16695 20670 24115 28938 31005 33390 43407 48230 62010 72345 86814 144690 217035 434070