Search a number
-
+
434896896 = 2183779
BaseRepresentation
bin11001111011000…
…000000000000000
31010022100001101110
4121323000000000
51342313200041
6111053203320
713530363660
oct3173000000
91108301343
10434896896
11203540525
12101790540
136c13c455
1441a8a1a0
15282a8516
hex19ec0000

434896896 has 152 divisors (see below), whose sum is σ = 1342174720. Its totient is φ = 122683392.

The previous prime is 434896859. The next prime is 434896897. The reversal of 434896896 is 698698434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434896897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5504985 + ... + 5505063.

Almost surely, 2434896896 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 434896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671087360).

434896896 is an abundant number, since it is smaller than the sum of its proper divisors (907277824).

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

434896896 is an frugal number, since it uses more digits than its factorization.

434896896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 434896896 is about 20854.1817389223. The cubic root of 434896896 is about 757.6386170314.

The spelling of 434896896 in words is "four hundred thirty-four million, eight hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 512 553 632 672 768 896 948 1024 1106 1264 1344 1536 1659 1792 1896 2048 2212 2528 2688 3072 3318 3584 3792 4096 4424 5056 5376 6144 6636 7168 7584 8192 8848 10112 10752 12288 13272 14336 15168 16384 17696 20224 21504 24576 26544 28672 30336 32768 35392 40448 43008 49152 53088 57344 60672 65536 70784 80896 86016 98304 106176 114688 121344 131072 141568 161792 172032 196608 212352 229376 242688 262144 283136 323584 344064 393216 424704 458752 485376 566272 647168 688128 786432 849408 917504 970752 1132544 1294336 1376256 1698816 1835008 1941504 2265088 2588672 2752512 3397632 3883008 4530176 5177344 5505024 6795264 7766016 9060352 10354688 13590528 15532032 18120704 20709376 27181056 31064064 36241408 54362112 62128128 72482816 108724224 144965632 217448448 434896896