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1041344892 = 223278349787
BaseRepresentation
bin111110000100011…
…010100101111100
32200120110210122100
4332010122211330
54113041014032
6251155345100
734543166640
oct7604324574
92616423570
101041344892
114948a2915
122508b2190
13137984c13
149c430c20
156164b97c
hex3e11a97c

1041344892 has 72 divisors (see below), whose sum is σ = 3044635776. Its totient is φ = 293936544.

The previous prime is 1041344891. The next prime is 1041344893. The reversal of 1041344892 is 2984431401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1041344891) and next prime (1041344893).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041344891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3978 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (42286608).

Almost surely, 21041344892 is an apocalyptic number.

1041344892 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 1041344892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522317888).

1041344892 is an abundant number, since it is smaller than the sum of its proper divisors (2003290884).

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

1041344892 is a wasteful number, since it uses less digits than its factorization.

1041344892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49887 (or 49882 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1041344892 is about 32269.8759216704. The cubic root of 1041344892 is about 1013.5959432584.

The spelling of 1041344892 in words is "one billion, forty-one million, three hundred forty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 10458 20916 49787 99574 149361 199148 298722 348509 448083 597444 697018 896166 1045527 1394036 1792332 2091054 3136581 4132321 4182108 6273162 8264642 12396963 12546324 16529284 24793926 28926247 37190889 49587852 57852494 74381778 86778741 115704988 148763556 173557482 260336223 347114964 520672446 1041344892