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1012343024 = 247117971031
BaseRepresentation
bin111100010101110…
…010000011110000
32121112220100120002
4330111302003300
54033124434044
6244242005132
734041526250
oct7425620360
92545810502
101012343024
1147a494330
122430467a8
1313196c354
1498641960
155dd1d74e
hex3c5720f0

1012343024 has 80 divisors (see below), whose sum is σ = 2450843136. Its totient is φ = 393542400.

The previous prime is 1012343021. The next prime is 1012343041. The reversal of 1012343024 is 4203432101.

It is a junction number, because it is equal to n+sod(n) for n = 1012342987 and 1012343005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012343021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981389 + ... + 982419.

Almost surely, 21012343024 is an apocalyptic number.

1012343024 is a gapful number since it is divisible by the number (14) 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 1012343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225421568).

1012343024 is an abundant number, since it is smaller than the sum of its proper divisors (1438500112).

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

1012343024 is a wasteful number, since it uses less digits than its factorization.

1012343024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1012343024 is about 31817.3384179130. The cubic root of 1012343024 is about 1004.0975286601.

Adding to 1012343024 its reverse (4203432101), we get a palindrome (5215775125).

The spelling of 1012343024 in words is "one billion, twelve million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 797 1031 1232 1594 2062 3188 4124 5579 6376 7217 8248 8767 11158 11341 12752 14434 16496 17534 22316 22682 28868 35068 44632 45364 57736 61369 70136 79387 89264 90728 115472 122738 140272 158774 181456 245476 317548 490952 635096 821707 981904 1270192 1643414 3286828 5751949 6573656 9038777 11503898 13147312 18077554 23007796 36155108 46015592 63271439 72310216 92031184 126542878 144620432 253085756 506171512 1012343024