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428432214 = 237311272591
BaseRepresentation
bin11001100010010…
…101101101010110
31002212011121111210
4121202111231112
51334134312324
6110302442250
713421420340
oct3142255526
91085147453
10428432214
111aa925511
12bb593386
136a9b7ab2
1440c86290
152792cd29
hex19895b56

428432214 has 64 divisors (see below), whose sum is σ = 1019215872. Its totient is φ = 117482400.

The previous prime is 428432161. The next prime is 428432233. The reversal of 428432214 is 412234824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164059 + ... + 166649.

It is an arithmetic number, because the mean of its divisors is an integer number (15925248).

Almost surely, 2428432214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509607936).

428432214 is an abundant number, since it is smaller than the sum of its proper divisors (590783658).

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

428432214 is a wasteful number, since it uses less digits than its factorization.

428432214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761.

The product of its digits is 12288, while the sum is 30.

The square root of 428432214 is about 20698.6041558362. The cubic root of 428432214 is about 753.8657963672.

The spelling of 428432214 in words is "four hundred twenty-eight million, four hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 127 186 217 254 381 434 651 762 889 1302 1778 2591 2667 3937 5182 5334 7773 7874 11811 15546 18137 23622 27559 36274 54411 55118 80321 82677 108822 160642 165354 240963 329057 481926 562247 658114 987171 1124494 1686741 1974342 2303399 3373482 4606798 6910197 10200767 13820394 20401534 30602301 61204602 71405369 142810738 214216107 428432214