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1042330608 = 2432113121227
BaseRepresentation
bin111110001000001…
…011001111110000
32200122022212210100
4332020023033300
54113314034413
6251232432400
734554443514
oct7610131760
92618285710
101042330608
11495406460
122510a8700
13137c3b797
149c60a144
1561793a73
hex3e20b3f0

1042330608 has 120 divisors (see below), whose sum is σ = 3285075456. Its totient is φ = 305654400.

The previous prime is 1042330567. The next prime is 1042330613. The reversal of 1042330608 is 8060332401.

It is a happy number.

1042330608 is a `hidden beast` number, since 1 + 0 + 4 + 23 + 30 + 608 = 666.

1042330608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38491 + ... + 59717.

Almost surely, 21042330608 is an apocalyptic number.

1042330608 is a gapful number since it is divisible by the number (18) 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 1042330608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642537728).

1042330608 is an abundant number, since it is smaller than the sum of its proper divisors (2242744848).

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

1042330608 is a wasteful number, since it uses less digits than its factorization.

1042330608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1042330608 is about 32285.1453148348. The cubic root of 1042330608 is about 1013.9156588697.

The spelling of 1042330608 in words is "one billion, forty-two million, three hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 21227 24552 42454 49104 63681 84908 127362 169816 191043 233497 254724 339632 382086 466994 509448 658037 700491 764172 933988 1018896 1316074 1400982 1528344 1867976 1974111 2101473 2632148 2801964 3056688 3735952 3948222 4202946 5264296 5603928 5922333 7238407 7896444 8405892 10528592 11207856 11844666 14476814 15792888 16811784 21715221 23689332 28953628 31585776 33623568 43430442 47378664 57907256 65145663 86860884 94757328 115814512 130291326 173721768 260582652 347443536 521165304 1042330608