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4342212320 = 255237116619
BaseRepresentation
bin1000000101101000…
…01110011011100000
3102012121122020111112
410002310032123200
532343101243240
61554512402452
7212414124065
oct40264163340
912177566445
104342212320
11192907a426
12a12246428
135427ac004
142d2994c6c
151a6321665
hex102d0e6e0

4342212320 has 96 divisors (see below), whose sum is σ = 10855918080. Its totient is φ = 1637870080.

The previous prime is 4342212307. The next prime is 4342212337. The reversal of 4342212320 is 232122434.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252971 + ... + 269589.

It is an arithmetic number, because the mean of its divisors is an integer number (113082480).

Almost surely, 24342212320 is an apocalyptic number.

4342212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427959040).

4342212320 is an abundant number, since it is smaller than the sum of its proper divisors (6513705760).

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

4342212320 is a wasteful number, since it uses less digits than its factorization.

4342212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4342212320 is about 65895.4650943447. The cubic root of 4342212320 is about 1631.4371657450.

Adding to 4342212320 its reverse (232122434), we get a palindrome (4574334754).

The spelling of 4342212320 in words is "four billion, three hundred forty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 71 80 92 115 142 160 184 230 284 355 368 460 568 710 736 920 1136 1420 1633 1840 2272 2840 3266 3680 5680 6532 8165 11360 13064 16330 16619 26128 32660 33238 52256 65320 66476 83095 130640 132952 166190 261280 265904 332380 382237 531808 664760 764474 1179949 1329520 1528948 1911185 2359898 2659040 3057896 3822370 4719796 5899745 6115792 7644740 9439592 11799490 12231584 15289480 18879184 23598980 27138827 30578960 37758368 47197960 54277654 61157920 94395920 108555308 135694135 188791840 217110616 271388270 434221232 542776540 868442464 1085553080 2171106160 4342212320