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434230298292 = 223733827152819
BaseRepresentation
bin1100101000110100010…
…01001000011010110100
31112111211020220200200110
412110122021020122310
524103300424021132
6531252130143020
743241426431020
oct6243211103264
91474736820613
10434230298292
1115817975711a
12701a6a21a70
1331c42259b0b
141703438d380
15b466ad91cc
hex651a2486b4

434230298292 has 48 divisors (see below), whose sum is σ = 1157989271040. Its totient is φ = 124061320032.

The previous prime is 434230298207. The next prime is 434230298297. The reversal of 434230298292 is 292892032434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434230298297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2765059 + ... + 2917877.

It is an arithmetic number, because the mean of its divisors is an integer number (24124776480).

Almost surely, 2434230298292 is an apocalyptic number.

434230298292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434230298292 is an abundant number, since it is smaller than the sum of its proper divisors (723758972748).

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

434230298292 is a wasteful number, since it uses less digits than its factorization.

434230298292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186660 (or 186658 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 434230298292 in words is "four hundred thirty-four billion, two hundred thirty million, two hundred ninety-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 33827 67654 101481 135308 152819 202962 236789 305638 405924 458457 473578 611276 710367 916914 947156 1069733 1420734 1833828 2139466 2841468 3209199 4278932 6418398 12836796 5169408313 10338816626 15508224939 20677633252 31016449878 36185858191 62032899756 72371716382 108557574573 144743432764 217115149146 434230298292