Search a number
-
+
1040304444 = 2232367101557
BaseRepresentation
bin111110000000011…
…100100100111100
32200111111221102020
4332000130210330
54112304220234
6251121200140
734531304364
oct7600344474
92614457366
101040304444
11494252143
12250490050
131376ac47a
149c23d9a4
15614e3549
hex3e01c93c

1040304444 has 96 divisors (see below), whose sum is σ = 2600833536. Its totient is φ = 322924800.

The previous prime is 1040304437. The next prime is 1040304491. The reversal of 1040304444 is 4444030401.

It is a super-2 number, since 2×10403044442 = 2164466672412298272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1867414 + ... + 1867970.

It is an arithmetic number, because the mean of its divisors is an integer number (27092016).

Almost surely, 21040304444 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 1040304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300416768).

1040304444 is an abundant number, since it is smaller than the sum of its proper divisors (1560529092).

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

1040304444 is a wasteful number, since it uses less digits than its factorization.

1040304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1040304444 is about 32253.7508516451. The cubic root of 1040304444 is about 1013.2582564511.

Adding to 1040304444 its reverse (4444030401), we get a palindrome (5484334845).

The spelling of 1040304444 in words is "one billion, forty million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 101 134 138 201 202 268 276 303 402 404 557 606 804 1114 1212 1541 1671 2228 2323 3082 3342 4623 4646 6164 6684 6767 6969 9246 9292 12811 13534 13938 18492 20301 25622 27068 27876 37319 38433 40602 51244 56257 74638 76866 81204 111957 112514 149276 153732 155641 168771 223914 225028 311282 337542 447828 466923 622564 675084 858337 933846 1293911 1716674 1867692 2575011 2587822 3433348 3769219 3881733 5150022 5175644 7538438 7763466 10300044 11307657 15076876 15526932 22615314 45230628 86692037 173384074 260076111 346768148 520152222 1040304444