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383429934 = 232171737243
BaseRepresentation
bin10110110110101…
…010110100101110
3222201111020222200
4112312222310232
51241124224214
6102014122330
712334046346
oct2666526456
9881436880
10383429934
11187488648
12a84b03a6
136158c424
1438ccdd26
15239ddd09
hex16daad2e

383429934 has 48 divisors (see below), whose sum is σ = 884840112. Its totient is φ = 119579904.

The previous prime is 383429933. The next prime is 383429999. The reversal of 383429934 is 439924383.

It is a self number, because there is not a number n which added to its sum of digits gives 383429934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383429933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49317 + ... + 56559.

It is an arithmetic number, because the mean of its divisors is an integer number (18434169).

Almost surely, 2383429934 is an apocalyptic number.

383429934 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 383429934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442420056).

383429934 is an abundant number, since it is smaller than the sum of its proper divisors (501410178).

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

383429934 is a wasteful number, since it uses less digits than its factorization.

383429934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7438 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 383429934 is about 19581.3670105026. The cubic root of 383429934 is about 726.4883789056.

The spelling of 383429934 in words is "three hundred eighty-three million, four hundred twenty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 1038 1557 2941 3114 5882 7243 8823 14486 17646 21729 26469 43458 52938 65187 123131 130374 246262 369393 738786 1108179 1253039 2216358 2506078 3759117 7518234 11277351 21301663 22554702 42603326 63904989 127809978 191714967 383429934