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1023401216 = 289741213
BaseRepresentation
bin111100111111111…
…101110100000000
32122022201011112202
4330333331310000
54043442314331
6245315012332
734234524005
oct7477756400
92568634482
101023401216
11485757532
1224689a0a8
13134041766
1499cbd8ac
155eca4ecb
hex3cffdd00

1023401216 has 36 divisors (see below), whose sum is σ = 2063914692. Its totient is φ = 506413056.

The previous prime is 1023401191. The next prime is 1023401231. The reversal of 1023401216 is 6121043201.

It can be written as a sum of positive squares in 2 ways, for example, as 847042816 + 176358400 = 29104^2 + 13280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4226 + ... + 45438.

Almost surely, 21023401216 is an apocalyptic number.

1023401216 is a gapful number since it is divisible by the number (16) 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 1023401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031957346).

1023401216 is an abundant number, since it is smaller than the sum of its proper divisors (1040513476).

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

1023401216 is an frugal number, since it uses more digits than its factorization.

1023401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41326 (or 41312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1023401216 is about 31990.6426318697. The cubic root of 1023401216 is about 1007.7403379204.

Adding to 1023401216 its reverse (6121043201), we get a palindrome (7144444417).

The spelling of 1023401216 in words is "one billion, twenty-three million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 24832 41213 82426 164852 329704 659408 1318816 2637632 3997661 5275264 7995322 10550528 15990644 31981288 63962576 127925152 255850304 511700608 1023401216