Search a number
-
+
1074363264 = 2735132657
BaseRepresentation
bin100000000001001…
…0111101110000000
32202212121022100000
41000002113232000
54200014111024
6254335200000
735423636262
oct10002275600
92685538300
101074363264
115014a5027
1225b976000
13141775a10
14a2987b32
15644becc9
hex40097b80

1074363264 has 192 divisors, whose sum is σ = 3454017840. Its totient is φ = 330448896.

The previous prime is 1074363239. The next prime is 1074363287. The reversal of 1074363264 is 4623634701.

It is a happy number.

1074363264 is a `hidden beast` number, since 10 + 7 + 4 + 3 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403024 + ... + 405680.

Almost surely, 21074363264 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 1074363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727008920).

1074363264 is an abundant number, since it is smaller than the sum of its proper divisors (2379654576).

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

1074363264 is an equidigital number, since it uses as much as digits as its factorization.

1074363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1074363264 is about 32777.4810502577. The cubic root of 1074363264 is about 1024.1975123565.

Adding to 1074363264 its reverse (4623634701), we get a palindrome (5697997965).

The spelling of 1074363264 in words is "one billion, seventy-four million, three hundred sixty-three thousand, two hundred sixty-four".