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3453994208 = 257311313797
BaseRepresentation
bin1100110111011111…
…1100010011100000
322220201022002022102
43031313330103200
524033210303313
61330423025532
7151410315650
oct31567742340
98821262272
103453994208
111512764a75
1280489b2a8
1343077c272
1424aa24360
15153370a58
hexcddfc4e0

3453994208 has 96 divisors (see below), whose sum is σ = 8085547008. Its totient is φ = 1421222400.

The previous prime is 3453994189. The next prime is 3453994231. The reversal of 3453994208 is 8024993543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907766 + ... + 911562.

It is an arithmetic number, because the mean of its divisors is an integer number (84224448).

Almost surely, 23453994208 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 3453994208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042773504).

3453994208 is an abundant number, since it is smaller than the sum of its proper divisors (4631552800).

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

3453994208 is a wasteful number, since it uses less digits than its factorization.

3453994208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 3453994208 is about 58770.6917434192. The cubic root of 3453994208 is about 1511.6127102650.

The spelling of 3453994208 in words is "three billion, four hundred fifty-three million, nine hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 131 217 224 248 262 434 496 524 868 917 992 1048 1736 1834 2096 3472 3668 3797 4061 4192 6944 7336 7594 8122 14672 15188 16244 26579 28427 29344 30376 32488 53158 56854 60752 64976 106316 113708 117707 121504 129952 212632 227416 235414 425264 454832 470828 497407 823949 850528 909664 941656 994814 1647898 1883312 1989628 3295796 3481849 3766624 3979256 6591592 6963698 7958512 13183184 13927396 15419617 15917024 26366368 27854792 30839234 55709584 61678468 107937319 111419168 123356936 215874638 246713872 431749276 493427744 863498552 1726997104 3453994208