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379021440 = 2735728201
BaseRepresentation
bin10110100101110…
…110100010000000
3222102012021200010
4112211312202000
51234012141230
6101335424520
712251425530
oct2645664200
9872167603
10379021440
11184a47466
12a6b25140
13606a7955
14384a34c0
152341c9b0
hex16976880

379021440 has 128 divisors (see below), whose sum is σ = 1380769920. Its totient is φ = 86630400.

The previous prime is 379021417. The next prime is 379021453. The reversal of 379021440 is 44120973.

It is a happy number.

379021440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 379021398 and 379021407.

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, 661 + ... + 27540.

It is an arithmetic number, because the mean of its divisors is an integer number (10787265).

Almost surely, 2379021440 is an apocalyptic number.

379021440 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 379021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690384960).

379021440 is an abundant number, since it is smaller than the sum of its proper divisors (1001748480).

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

379021440 is a wasteful number, since it uses less digits than its factorization.

379021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28230 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 379021440 is about 19468.4729755572. The cubic root of 379021440 is about 723.6933675011.

The spelling of 379021440 in words is "three hundred seventy-nine million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 28201 56402 84603 112804 141005 169206 197407 225608 282010 338412 394814 423015 451216 564020 592221 676824 789628 846030 902432 987035 1128040 1184442 1353648 1579256 1692060 1804864 1974070 2256080 2368884 2707296 2961105 3158512 3384120 3609728 3948140 4512160 4737768 5414592 5922210 6317024 6768240 7896280 9024320 9475536 10829184 11844420 12634048 13536480 15792560 18048640 18951072 23688840 25268096 27072960 31585120 37902144 47377680 54145920 63170240 75804288 94755360 126340480 189510720 379021440