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3372097248 = 2532131098263
BaseRepresentation
bin1100100011111110…
…0001111011100000
322201000012021210200
43020333201323200
523401224102443
61314335425200
7146364232212
oct31077417340
98630167720
103372097248
111480508633
127a1385200
13419806620
1423dbc65b2
1514b094dd3
hexc8fe1ee0

3372097248 has 144 divisors (see below), whose sum is σ = 10423052640. Its totient is φ = 1027924992.

The previous prime is 3372097247. The next prime is 3372097273. The reversal of 3372097248 is 8427902733.

3372097248 is a `hidden beast` number, since 337 + 209 + 72 + 48 = 666.

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

It is a super-2 number, since 2×33720972482 = 22742079699938347008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372097243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403965 + ... + 412227.

It is an arithmetic number, because the mean of its divisors is an integer number (72382310).

Almost surely, 23372097248 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 3372097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211526320).

3372097248 is an abundant number, since it is smaller than the sum of its proper divisors (7050955392).

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

3372097248 is a wasteful number, since it uses less digits than its factorization.

3372097248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3372097248 is about 58069.7619075539. The cubic root of 3372097248 is about 1499.5698393197.

The spelling of 3372097248 in words is "three billion, three hundred seventy-two million, ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 109 117 144 156 208 218 234 288 312 327 416 436 468 624 654 872 936 981 1248 1308 1417 1744 1872 1962 2616 2834 3488 3744 3924 4251 5232 5668 7848 8263 8502 10464 11336 12753 15696 16526 17004 22672 24789 25506 31392 33052 34008 45344 49578 51012 66104 68016 74367 99156 102024 107419 132208 136032 148734 198312 204048 214838 264416 297468 322257 396624 408096 429676 594936 644514 793248 859352 900667 966771 1189872 1289028 1718704 1801334 1933542 2379744 2578056 2702001 3437408 3602668 3867084 5156112 5404002 7205336 7734168 8106003 10312224 10808004 11708671 14410672 15468336 16212006 21616008 23417342 28821344 30936672 32424012 35126013 43232016 46834684 64848024 70252026 86464032 93669368 105378039 129696048 140504052 187338736 210756078 259392096 281008104 374677472 421512156 562016208 843024312 1124032416 1686048624 3372097248