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3023254432 = 2511172113263
BaseRepresentation
bin1011010000110011…
…0011001110100000
321210200210020102101
42310030303032200
522142423120212
61215554500144
7134630144602
oct26414631640
97720706371
103023254432
111311603890
12704594654
13392467063
1420973b172
1512a639157
hexb43333a0

3023254432 has 144 divisors (see below), whose sum is σ = 6985040832. Its totient is φ = 1277050880.

The previous prime is 3023254427. The next prime is 3023254441. The reversal of 3023254432 is 2344523203.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3023254432.

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, 11495133 + ... + 11495395.

It is an arithmetic number, because the mean of its divisors is an integer number (48507228).

Almost surely, 23023254432 is an apocalyptic number.

3023254432 is a gapful number since it is divisible by the number (32) 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 3023254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492520416).

3023254432 is an abundant number, since it is smaller than the sum of its proper divisors (3961786400).

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

3023254432 is a wasteful number, since it uses less digits than its factorization.

3023254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 3023254432 is about 54984.1289100773. The cubic root of 3023254432 is about 1445.9665044942.

Adding to 3023254432 its reverse (2344523203), we get a palindrome (5367777635).

The spelling of 3023254432 in words is "three billion, twenty-three million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 113 136 176 187 226 263 272 289 352 374 452 526 544 578 748 904 1052 1156 1243 1496 1808 1921 2104 2312 2486 2893 2992 3179 3616 3842 4208 4471 4624 4972 5786 5984 6358 7684 8416 8942 9248 9944 11572 12716 15368 17884 19888 21131 23144 25432 29719 30736 32657 35768 39776 42262 46288 49181 50864 59438 61472 65314 71536 76007 84524 92576 98362 101728 118876 130628 143072 152014 169048 196724 237752 261256 304028 326909 338096 359227 393448 475504 505223 522512 608056 653818 676192 718454 786896 836077 951008 1010446 1045024 1216112 1307636 1436908 1573792 1672154 2020892 2432224 2615272 2873816 3344308 4041784 5230544 5557453 5747632 6688616 8083568 8588791 10461088 11114906 11495264 13377232 16167136 17177582 22229812 26754464 34355164 44459624 68710328 88919248 94476701 137420656 177838496 188953402 274841312 377906804 755813608 1511627216 3023254432