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319908996 = 22321122712
BaseRepresentation
bin10011000100010…
…110110010000100
3211021222001122100
4103010112302010
51123344041441
651424432100
710633116201
oct2304266204
9737861570
10319908996
11154642400
128b178630
135137b984
14306b6ca8
151d142cb6
hex13116c84

319908996 has 81 divisors (see below), whose sum is σ = 892148439. Its totient is φ = 96584400.

The previous prime is 319908977. The next prime is 319908997. The reversal of 319908996 is 699809913.

The square root of 319908996 is 17886.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (319908997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1180341 + ... + 1180611.

Almost surely, 2319908996 is an apocalyptic number.

319908996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

319908996 is the 17886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319908996

319908996 is an abundant number, since it is smaller than the sum of its proper divisors (572239443).

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

319908996 is a wasteful number, since it uses less digits than its factorization.

319908996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The cubic root of 319908996 is about 683.9255330853.

Multiplying 319908996 by its product of nonzero digits (944784), we get a square (302244900876864 = 173851922).

It can be divided in two parts, 3199089 and 96, that added together give a triangular number (3199185 = T2529).

The spelling of 319908996 in words is "three hundred nineteen million, nine hundred eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 271 363 396 484 542 726 813 1084 1089 1452 1626 2178 2439 2981 3252 4356 4878 5962 8943 9756 11924 17886 26829 32791 35772 53658 65582 73441 98373 107316 131164 146882 196746 220323 293764 295119 393492 440646 590238 660969 807851 881292 1180476 1321938 1615702 2423553 2643876 3231404 4847106 7270659 8886361 9694212 14541318 17772722 26659083 29082636 35545444 53318166 79977249 106636332 159954498 319908996