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74234342300 = 225223107301643
BaseRepresentation
bin100010100100010110…
…1100010101110011100
321002121112000022112012
41011020231202232130
52204012442423200
654034111330352
75235411332636
oct1051055425634
9232545008465
1074234342300
1129534395118
1212478b209b8
137000788941
14384312ba56
151de7225a35
hex1148b62b9c

74234342300 has 72 divisors (see below), whose sum is σ = 169663890816. Its totient is φ = 28137165760.

The previous prime is 74234342263. The next prime is 74234342309. The reversal of 74234342300 is 324343247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74234342309) 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, 95279 + ... + 396921.

It is an arithmetic number, because the mean of its divisors is an integer number (2356442928).

Almost surely, 274234342300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74234342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84831945408).

74234342300 is an abundant number, since it is smaller than the sum of its proper divisors (95429548516).

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

74234342300 is a wasteful number, since it uses less digits than its factorization.

74234342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301787 (or 301780 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 32.

Adding to 74234342300 its reverse (324343247), we get a palindrome (74558685547).

The spelling of 74234342300 in words is "seventy-four billion, two hundred thirty-four million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 107 115 214 230 428 460 535 575 1070 1150 2140 2300 2461 2675 4922 5350 9844 10700 12305 24610 49220 61525 123050 246100 301643 603286 1206572 1508215 3016430 6032860 6937789 7541075 13875578 15082150 27751156 30164300 32275801 34688945 64551602 69377890 129103204 138755780 161379005 173444725 322758010 346889450 645516020 693778900 742343423 806895025 1484686846 1613790050 2969373692 3227580100 3711717115 7423434230 14846868460 18558585575 37117171150 74234342300