Search a number
-
+
1031305344 = 27310126591
BaseRepresentation
bin111101011110000…
…111100010000000
32122212120201222020
4331132013202000
54103003232334
6250200241440
734361644056
oct7536074200
92585521866
101031305344
1148a165a73
12249470280
1313587b364
149ad7a1d6
1560816e49
hex3d787880

1031305344 has 64 divisors (see below), whose sum is σ = 2766631680. Its totient is φ = 340352000.

The previous prime is 1031305307. The next prime is 1031305367. The reversal of 1031305344 is 4435031301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25489 + ... + 52079.

It is an arithmetic number, because the mean of its divisors is an integer number (43228620).

Almost surely, 21031305344 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 1031305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383315840).

1031305344 is an abundant number, since it is smaller than the sum of its proper divisors (1735326336).

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

1031305344 is a wasteful number, since it uses less digits than its factorization.

1031305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26709 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1031305344 is about 32113.9431400132. The cubic root of 1031305344 is about 1010.3280782373.

Adding to 1031305344 its reverse (4435031301), we get a palindrome (5466336645).

The spelling of 1031305344 in words is "one billion, thirty-one million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 26591 38784 53182 79773 106364 159546 212728 319092 425456 638184 850912 1276368 1701824 2552736 2685691 3403648 5105472 5371382 8057073 10210944 10742764 16114146 21485528 32228292 42971056 64456584 85942112 128913168 171884224 257826336 343768448 515652672 1031305344