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916669440 = 21033519349
BaseRepresentation
bin110110101000110…
…100010000000000
32100212212122002000
4312220310100000
53334131410230
6230543224000
731500363441
oct6650642000
92325778060
10916669440
11430488355
12216ba8000
13117bb1b6b
1489a592c8
1555720b60
hex36a34400

916669440 has 352 divisors, whose sum is σ = 3438960000. Its totient is φ = 230916096.

The previous prime is 916669379. The next prime is 916669441. The reversal of 916669440 is 44966619.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (916669441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626386 + ... + 2626734.

Almost surely, 2916669440 is an apocalyptic number.

916669440 is a gapful number since it is divisible by the number (90) 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 916669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719480000).

916669440 is an abundant number, since it is smaller than the sum of its proper divisors (2522290560).

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

916669440 is a wasteful number, since it uses less digits than its factorization.

916669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 916669440 is about 30276.5493410329. The cubic root of 916669440 is about 971.4137601960.

It can be divided in two parts, 9166 and 69440, that added together give a triangular number (78606 = T396).

The spelling of 916669440 in words is "nine hundred sixteen million, six hundred sixty-nine thousand, four hundred forty".