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1012230432 = 2534596619
BaseRepresentation
bin111100010101010…
…110100100100000
32121112200122010000
4330111112210200
54033112333212
6244235340000
734040550063
oct7425264440
92545618100
101012230432
1147a417784
12242bb1600
13131930025
14986128da
155dcea1dc
hex3c556920

1012230432 has 120 divisors (see below), whose sum is σ = 3027855600. Its totient is φ = 331641216.

The previous prime is 1012230409. The next prime is 1012230433. The reversal of 1012230432 is 2340322101.

1012230432 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 230 + 432 = 666.

It is a super-2 number, since 2×10122304322 = 2049220894933813248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1012230433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149619 + ... + 156237.

It is an arithmetic number, because the mean of its divisors is an integer number (25232130).

Almost surely, 21012230432 is an apocalyptic number.

1012230432 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 1012230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513927800).

1012230432 is an abundant number, since it is smaller than the sum of its proper divisors (2015625168).

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

1012230432 is an equidigital number, since it uses as much as digits as its factorization.

1012230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012230432 is about 31815.5690189567. The cubic root of 1012230432 is about 1004.0603022991.

Adding to 1012230432 its reverse (2340322101), we get a palindrome (3352552533).

The spelling of 1012230432 in words is "one billion, twelve million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 6619 8496 9558 12744 13238 16992 19116 19857 25488 26476 38232 39714 50976 52952 59571 76464 79428 105904 119142 152928 158856 178713 211808 238284 317712 357426 390521 476568 536139 635424 714852 781042 953136 1072278 1171563 1429704 1562084 1906272 2144556 2343126 2859408 3124168 3514689 4289112 4686252 5718816 6248336 7029378 8578224 9372504 10544067 12496672 14058756 17156448 18745008 21088134 28117512 31632201 37490016 42176268 56235024 63264402 84352536 112470048 126528804 168705072 253057608 337410144 506115216 1012230432