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379218252 = 223721759643
BaseRepresentation
bin10110100110100…
…110100101001100
3222102120021122110
4112212212211030
51234034441002
6101343544020
712253205400
oct2646464514
9872507573
10379218252
11185071316
12a6bbb010
13607463ca
1438515100
152345ae6c
hex169a694c

379218252 has 144 divisors (see below), whose sum is σ = 1110049920. Its totient is φ = 100090368.

The previous prime is 379218251. The next prime is 379218277. The reversal of 379218252 is 252812973.

It is a self number, because there is not a number n which added to its sum of digits gives 379218252.

It is not an unprimeable number, because it can be changed into a prime (379218251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589443 + ... + 590085.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2379218252 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 379218252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555024960).

379218252 is an abundant number, since it is smaller than the sum of its proper divisors (730831668).

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

379218252 is a wasteful number, since it uses less digits than its factorization.

379218252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 379218252 is about 19473.5269532769. The cubic root of 379218252 is about 723.8186083433.

The spelling of 379218252 in words is "three hundred seventy-nine million, two hundred eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 59 68 84 98 102 118 119 147 177 196 204 236 238 294 354 357 413 476 588 643 708 714 826 833 1003 1239 1286 1428 1652 1666 1929 2006 2478 2499 2572 2891 3009 3332 3858 4012 4501 4956 4998 5782 6018 7021 7716 8673 9002 9996 10931 11564 12036 13503 14042 17346 18004 21063 21862 27006 28084 31507 32793 34692 37937 42126 43724 49147 54012 63014 65586 75874 76517 84252 94521 98294 113811 126028 131172 147441 151748 153034 189042 196588 227622 229551 265559 294882 306068 378084 455244 459102 531118 535619 589764 644929 796677 918204 1062236 1071238 1289858 1593354 1606857 1858913 1934787 2142476 2579716 3186708 3213714 3717826 3869574 4514503 5576739 6427428 7435652 7739148 9029006 11153478 13543509 18058012 22306956 27087018 31601521 54174036 63203042 94804563 126406084 189609126 379218252