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1023134208 = 2932328961
BaseRepresentation
bin111100111110111…
…100101000000000
32122022012121021120
4330332330220000
54043410243313
6245305152240
734232332365
oct7476745000
92568177246
101023134208
11485594968
1224678b680
13133c7a075
1499c5046c
155ec50d23
hex3cfbca00

1023134208 has 80 divisors (see below), whose sum is σ = 2844300096. Its totient is φ = 326205440.

The previous prime is 1023134179. The next prime is 1023134267. The reversal of 1023134208 is 8024313201.

1023134208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20848 + ... + 49808.

Almost surely, 21023134208 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 1023134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422150048).

1023134208 is an abundant number, since it is smaller than the sum of its proper divisors (1821165888).

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

1023134208 is an equidigital number, since it uses as much as digits as its factorization.

1023134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29005 (or 28989 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1023134208 is about 31986.4691393095. The cubic root of 1023134208 is about 1007.6526896184.

Adding to 1023134208 its reverse (8024313201), we get a palindrome (9047447409).

The spelling of 1023134208 in words is "one billion, twenty-three million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 28961 35328 57922 86883 115844 173766 231688 347532 463376 666103 695064 926752 1332206 1390128 1853504 1998309 2664412 2780256 3707008 3996618 5328824 5560512 7414016 7993236 10657648 11121024 14828032 15986472 21315296 22242048 31972944 42630592 44484096 63945888 85261184 127891776 170522368 255783552 341044736 511567104 1023134208