Search a number
-
+
1031234144 = 25174753761
BaseRepresentation
bin111101011101110…
…110001001100000
32122212110010022012
4331131312021200
54102443443034
6250154532052
734361226353
oct7535661140
92585403265
101031234144
1148a117526
12249437028
13135854b25
149ad5c29a
1560800cce
hex3d776260

1031234144 has 96 divisors (see below), whose sum is σ = 2239767936. Its totient is φ = 465387520.

The previous prime is 1031234131. The next prime is 1031234147. The reversal of 1031234144 is 4414321301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031234147) 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, 1354724 + ... + 1355484.

It is an arithmetic number, because the mean of its divisors is an integer number (23330916).

Almost surely, 21031234144 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 1031234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119883968).

1031234144 is an abundant number, since it is smaller than the sum of its proper divisors (1208533792).

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

1031234144 is a wasteful number, since it uses less digits than its factorization.

1031234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1031234144 is about 32112.8345681287. The cubic root of 1031234144 is about 1010.3048271167.

Adding to 1031234144 its reverse (4414321301), we get a palindrome (5445555445).

The spelling of 1031234144 in words is "one billion, thirty-one million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 47 53 68 94 106 136 188 212 272 376 424 544 752 761 799 848 901 1504 1522 1598 1696 1802 2491 3044 3196 3604 4982 6088 6392 7208 9964 12176 12784 12937 14416 19928 24352 25568 25874 28832 35767 39856 40333 42347 51748 71534 79712 80666 84694 103496 143068 161332 169388 206992 286136 322664 338776 413984 572272 608039 645328 677552 685661 1144544 1216078 1290656 1355104 1371322 1895651 2432156 2742644 3791302 4864312 5485288 7582604 9728624 10970576 15165208 19457248 21941152 30330416 32226067 60660832 64452134 128904268 257808536 515617072 1031234144