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378644220 = 22345474973
BaseRepresentation
bin10110100100011…
…010011011111100
3222101111010020000
4112210122123330
51233413103340
6101323354300
712245265003
oct2644323374
9871433200
10378644220
1118480a009
12a6982990
13605a5046
1438405c3a
1523395d30
hex1691a6fc

378644220 has 120 divisors (see below), whose sum is σ = 1213337664. Its totient is φ = 98803584.

The previous prime is 378644219. The next prime is 378644221. The reversal of 378644220 is 22446873.

378644220 is a `hidden beast` number, since 3 + 7 + 8 + 644 + 2 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (378644219) and next prime (378644221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378644221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73654 + ... + 78626.

Almost surely, 2378644220 is an apocalyptic number.

378644220 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 378644220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606668832).

378644220 is an abundant number, since it is smaller than the sum of its proper divisors (834693444).

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

378644220 is a wasteful number, since it uses less digits than its factorization.

378644220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 378644220 is about 19458.7825929579. The cubic root of 378644220 is about 723.4532032271.

The spelling of 378644220 in words is "three hundred seventy-eight million, six hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 705 810 846 940 1269 1410 1620 1692 2115 2538 2820 3807 4230 4973 5076 6345 7614 8460 9946 12690 14919 15228 19035 19892 24865 25380 29838 38070 44757 49730 59676 74595 76140 89514 99460 134271 149190 179028 223785 233731 268542 298380 402813 447570 467462 537084 671355 701193 805626 895140 934924 1168655 1342710 1402386 1611252 2014065 2103579 2337310 2685420 2804772 3505965 4028130 4207158 4674620 6310737 7011930 8056260 8414316 10517895 12621474 14023860 18932211 21035790 25242948 31553685 37864422 42071580 63107370 75728844 94661055 126214740 189322110 378644220