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470432430 = 2325133710867
BaseRepresentation
bin11100000010100…
…011101010101110
31012210012102222100
4130002203222232
51430412314210
6114402555530
714441416056
oct3402435256
91183172870
10470432430
11221601936
12111668ba6
1376601bb0
144669a566
152b4775c0
hex1c0a3aae

470432430 has 96 divisors (see below), whose sum is σ = 1352935584. Its totient is φ = 112658688.

The previous prime is 470432387. The next prime is 470432441. The reversal of 470432430 is 34234074.

It is a junction number, because it is equal to n+sod(n) for n = 470432394 and 470432403.

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, 37857 + ... + 48723.

It is an arithmetic number, because the mean of its divisors is an integer number (14093079).

Almost surely, 2470432430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470432430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676467792).

470432430 is an abundant number, since it is smaller than the sum of its proper divisors (882503154).

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

470432430 is a wasteful number, since it uses less digits than its factorization.

470432430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 470432430 is about 21689.4543499831. The cubic root of 470432430 is about 777.7363859076.

The spelling of 470432430 in words is "four hundred seventy million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 481 555 585 666 962 1110 1170 1443 1665 2405 2886 3330 4329 4810 7215 8658 10867 14430 21645 21734 32601 43290 54335 65202 97803 108670 141271 163005 195606 282542 326010 402079 423813 489015 706355 804158 847626 978030 1206237 1271439 1412710 2010395 2119065 2412474 2542878 3618711 4020790 4238130 5227027 6031185 6357195 7237422 10454054 12062370 12714390 15681081 18093555 26135135 31362162 36187110 47043243 52270270 78405405 94086486 156810810 235216215 470432430