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1030311324 = 2232737110501
BaseRepresentation
bin111101011010010…
…100110110011100
32122210201020102200
4331122110312130
54102224430244
6250123051500
734350334050
oct7532246634
92583636380
101030311324
11489647169
12249070b90
131355c0a93
149ab9bc60
15606bc669
hex3d694d9c

1030311324 has 72 divisors (see below), whose sum is σ = 3056927328. Its totient is φ = 286416000.

The previous prime is 1030311241. The next prime is 1030311329. The reversal of 1030311324 is 4231130301.

1030311324 is a `hidden beast` number, since 1 + 0 + 30 + 311 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030311297 and 1030311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45927 + ... + 64574.

It is an arithmetic number, because the mean of its divisors is an integer number (42457324).

Almost surely, 21030311324 is an apocalyptic number.

1030311324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1030311324 is an abundant number, since it is smaller than the sum of its proper divisors (2026616004).

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

1030311324 is a wasteful number, since it uses less digits than its factorization.

1030311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110555 (or 110550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1030311324 is about 32098.4629538550. The cubic root of 1030311324 is about 1010.0033735142.

Adding to 1030311324 its reverse (4231130301), we get a palindrome (5261441625).

The spelling of 1030311324 in words is "one billion, thirty million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 110501 221002 331503 442004 663006 773507 994509 1326012 1547014 1989018 2320521 3094028 3978036 4088537 4641042 6961563 8177074 9282084 12265611 13923126 16354148 24531222 27846252 28619759 36796833 49062444 57239518 73593666 85859277 114479036 147187332 171718554 257577831 343437108 515155662 1030311324