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940342224 = 243192693833
BaseRepresentation
bin111000000011000…
…111101111010000
32102112102100000210
4320003013233100
53411211422344
6233150444120
732205530343
oct7003075720
92375370023
10940342224
11442887038
12222b03640
1311ca7cc23
148cc5c45a
1557849db9
hex380c7bd0

940342224 has 80 divisors (see below), whose sum is σ = 2567246400. Its totient is φ = 295769088.

The previous prime is 940342223. The next prime is 940342229. The reversal of 940342224 is 422243049.

It is a Cunningham number, because it is equal to 306652-1.

It is a junction number, because it is equal to n+sod(n) for n = 940342191 and 940342200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940342223) 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, 243412 + ... + 247244.

It is an arithmetic number, because the mean of its divisors is an integer number (32090580).

Almost surely, 2940342224 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 940342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283623200).

940342224 is an abundant number, since it is smaller than the sum of its proper divisors (1626904176).

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

940342224 is a wasteful number, since it uses less digits than its factorization.

940342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 940342224 is about 30664.9999836948. Note that the first 4 decimals coincide. The cubic root of 940342224 is about 979.7049729714.

The spelling of 940342224 in words is "nine hundred forty million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 269 304 456 538 807 912 1076 1614 2152 3228 3833 4304 5111 6456 7666 10222 11499 12912 15332 15333 20444 22998 30664 30666 40888 45996 61328 61332 72827 81776 91992 122664 145654 183984 218481 245328 291308 436962 582616 873924 1031077 1165232 1747848 2062154 3093231 3495696 4124308 6186462 8248616 12372924 16497232 19590463 24745848 39180926 49491696 58771389 78361852 117542778 156723704 235085556 313447408 470171112 940342224