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429164346 = 23132676317
BaseRepresentation
bin11001100101001…
…000011100111010
31002220112210210210
4121211020130322
51334331224341
6110330251550
713430560002
oct3145103472
91086483723
10429164346
11200285586
12bb886bb6
136abb3100
1440dd7002
1527a24c16
hex1994873a

429164346 has 48 divisors (see below), whose sum is σ = 943454304. Its totient is φ = 130059072.

The previous prime is 429164327. The next prime is 429164347. The reversal of 429164346 is 643461924.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (429164347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64780 + ... + 71096.

It is an arithmetic number, because the mean of its divisors is an integer number (19655298).

Almost surely, 2429164346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429164346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471727152).

429164346 is an abundant number, since it is smaller than the sum of its proper divisors (514289958).

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

429164346 is a wasteful number, since it uses less digits than its factorization.

429164346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6402 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 429164346 is about 20716.2821471421. The cubic root of 429164346 is about 754.2949698068.

The spelling of 429164346 in words is "four hundred twenty-nine million, one hundred sixty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 26 39 67 78 134 169 201 338 402 507 871 1014 1742 2613 5226 6317 11323 12634 18951 22646 33969 37902 67938 82121 164242 246363 423239 492726 846478 1067573 1269717 2135146 2539434 3202719 5502107 6405438 11004214 16506321 33012642 71527391 143054782 214582173 429164346