Search a number
-
+
1040301312 = 2831499091
BaseRepresentation
bin111110000000011…
…011110100000000
32200111111210010020
4332000123310000
54112304120222
6251121133440
734531262301
oct7600336400
92614453106
101040301312
1149424a856
1225048a280
131376aac0b
149c23c7a8
15614e265c
hex3e01bd00

1040301312 has 72 divisors (see below), whose sum is σ = 2787607200. Its totient is φ = 344401920.

The previous prime is 1040301307. The next prime is 1040301389. The reversal of 1040301312 is 2131030401.

It is a junction number, because it is equal to n+sod(n) for n = 1040301291 and 1040301300.

It is a congruent number.

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, 109887 + ... + 118977.

Almost surely, 21040301312 is an apocalyptic number.

1040301312 is a gapful number since it is divisible by the number (12) 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 1040301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393803600).

1040301312 is an abundant number, since it is smaller than the sum of its proper divisors (1747305888).

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

1040301312 is an equidigital number, since it uses as much as digits as its factorization.

1040301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1040301312 is about 32253.7022991160. The cubic root of 1040301312 is about 1013.2572395923.

Adding to 1040301312 its reverse (2131030401), we get a palindrome (3171331713).

The spelling of 1040301312 in words is "one billion, forty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 2384 3576 4768 7152 9091 9536 14304 18182 19072 27273 28608 36364 38144 54546 57216 72728 109092 114432 145456 218184 290912 436368 581824 872736 1163648 1354559 1745472 2327296 2709118 3490944 4063677 5418236 6981888 8127354 10836472 16254708 21672944 32509416 43345888 65018832 86691776 130037664 173383552 260075328 346767104 520150656 1040301312