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379039140 = 2232517971277
BaseRepresentation
bin10110100101111…
…010110110100100
3222102020011221200
4112211322312210
51234013223030
6101340042500
712251531244
oct2645726644
9872204850
10379039140
11184a59797
12a6b33430
13606b2a1c
14384a9b24
1523422d60
hex1697ada4

379039140 has 144 divisors (see below), whose sum is σ = 1230898032. Its totient is φ = 94076928.

The previous prime is 379039099. The next prime is 379039147. The reversal of 379039140 is 41930973.

It can be written as a sum of positive squares in 8 ways, for example, as 6471936 + 372567204 = 2544^2 + 19302^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379039095 and 379039104.

It is not an unprimeable number, because it can be changed into a prime (379039147) 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, 296182 + ... + 297458.

It is an arithmetic number, because the mean of its divisors is an integer number (8547903).

Almost surely, 2379039140 is an apocalyptic number.

379039140 is a gapful number since it is divisible by the number (30) 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 379039140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615449016).

379039140 is an abundant number, since it is smaller than the sum of its proper divisors (851858892).

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

379039140 is a wasteful number, since it uses less digits than its factorization.

379039140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 379039140 is about 19468.9275513573. The cubic root of 379039140 is about 723.7046326275.

The spelling of 379039140 in words is "three hundred seventy-nine million, thirty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 97 102 153 170 180 194 204 255 291 306 340 388 485 510 582 612 765 873 970 1020 1164 1277 1455 1530 1649 1746 1940 2554 2910 3060 3298 3492 3831 4365 4947 5108 5820 6385 6596 7662 8245 8730 9894 11493 12770 14841 15324 16490 17460 19155 19788 21709 22986 24735 25540 29682 32980 38310 43418 45972 49470 57465 59364 65127 74205 76620 86836 98940 108545 114930 123869 130254 148410 195381 217090 229860 247738 260508 296820 325635 371607 390762 434180 495476 619345 651270 743214 781524 976905 1114821 1238690 1302540 1486428 1858035 1953810 2105773 2229642 2477380 3716070 3907620 4211546 4459284 5574105 6317319 7432140 8423092 10528865 11148210 12634638 18951957 21057730 22296420 25269276 31586595 37903914 42115460 63173190 75807828 94759785 126346380 189519570 379039140