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3253457376 = 2532131735023
BaseRepresentation
bin1100000111101011…
…1101000111100000
322101201221202111100
43001322331013200
523130341114001
61254500514400
7143423634321
oct30172750740
98351852440
103253457376
11141a545754
127696aba00
133cb067810
1422c142448
1514095c586
hexc1ebd1e0

3253457376 has 144 divisors (see below), whose sum is σ = 10023302016. Its totient is φ = 995079168.

The previous prime is 3253457351. The next prime is 3253457377. The reversal of 3253457376 is 6737543523.

3253457376 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 4 + 573 + 76 = 666.

3253457376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253457377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645201 + ... + 650223.

It is an arithmetic number, because the mean of its divisors is an integer number (69606264).

Almost surely, 23253457376 is an apocalyptic number.

3253457376 is a gapful number since it is divisible by the number (36) 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 3253457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011651008).

3253457376 is an abundant number, since it is smaller than the sum of its proper divisors (6769844640).

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

3253457376 is a wasteful number, since it uses less digits than its factorization.

3253457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5214 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 45.

The square root of 3253457376 is about 57039.0863881952. The cubic root of 3253457376 is about 1481.7731025600.

The spelling of 3253457376 in words is "three billion, two hundred fifty-three million, four hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 173 208 234 288 312 346 416 468 519 624 692 936 1038 1248 1384 1557 1872 2076 2249 2768 3114 3744 4152 4498 5023 5536 6228 6747 8304 8996 10046 12456 13494 15069 16608 17992 20092 20241 24912 26988 30138 35984 40184 40482 45207 49824 53976 60276 65299 71968 80368 80964 90414 107952 120552 130598 160736 161928 180828 195897 215904 241104 261196 323856 361656 391794 482208 522392 587691 647712 723312 783588 868979 1044784 1175382 1446624 1567176 1737958 2089568 2350764 2606937 3134352 3475916 4701528 5213874 6268704 6951832 7820811 9403056 10427748 11296727 13903664 15641622 18806112 20855496 22593454 27807328 31283244 33890181 41710992 45186908 62566488 67780362 83421984 90373816 101670543 125132976 135560724 180747632 203341086 250265952 271121448 361495264 406682172 542242896 813364344 1084485792 1626728688 3253457376