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945294378 = 23723678761
BaseRepresentation
bin111000010110000…
…000110000101010
32102212201221002220
4320112000300222
53413443410003
6233444534510
732265604200
oct7026006052
92385657086
10945294378
11445659726
122246b1436
13120ac4cb2
148d78b070
1557ec7353
hex38580c2a

945294378 has 48 divisors (see below), whose sum is σ = 2205500544. Its totient is φ = 269317440.

The previous prime is 945294373. The next prime is 945294407. The reversal of 945294378 is 873492549.

It is a super-2 number, since 2×9452943782 = 1787162922156813768, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 945294378.

It is not an unprimeable number, because it can be changed into a prime (945294373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103518 + ... + 112278.

It is an arithmetic number, because the mean of its divisors is an integer number (45947928).

Almost surely, 2945294378 is an apocalyptic number.

945294378 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 945294378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102750272).

945294378 is an abundant number, since it is smaller than the sum of its proper divisors (1260206166).

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

945294378 is a wasteful number, since it uses less digits than its factorization.

945294378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9140 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 945294378 is about 30745.6399835814. The cubic root of 945294378 is about 981.4217798278.

The spelling of 945294378 in words is "nine hundred forty-five million, two hundred ninety-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 367 734 1101 2202 2569 5138 7707 8761 15414 17522 17983 26283 35966 52566 53949 61327 107898 122654 183981 367962 429289 858578 1287867 2575734 3215287 6430574 9645861 19291722 22507009 45014018 67521027 135042054 157549063 315098126 472647189 945294378