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378711648 = 25327199887
BaseRepresentation
bin10110100100101…
…010111001100000
3222101121112201100
4112210222321200
51233422233043
6101325034400
712245665410
oct2644527140
9871545640
10378711648
11184855737
12a69b5a00
13605c9943
1438422640
15233aacd3
hex1692ae60

378711648 has 144 divisors (see below), whose sum is σ = 1295723520. Its totient is φ = 102498048.

The previous prime is 378711647. The next prime is 378711649. The reversal of 378711648 is 846117873.

It is an interprime number because it is at equal distance from previous prime (378711647) and next prime (378711649).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378711647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33361 + ... + 43247.

It is an arithmetic number, because the mean of its divisors is an integer number (8998080).

Almost surely, 2378711648 is an apocalyptic number.

378711648 is a gapful number since it is divisible by the number (38) 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 378711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647861760).

378711648 is an abundant number, since it is smaller than the sum of its proper divisors (917011872).

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

378711648 is a wasteful number, since it uses less digits than its factorization.

378711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9918 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 378711648 is about 19460.5151010964. The cubic root of 378711648 is about 723.4961442473.

The spelling of 378711648 in words is "three hundred seventy-eight million, seven hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 9887 12768 19152 19774 29661 38304 39548 59322 69209 79096 88983 118644 138418 158192 177966 187853 207627 237288 276836 316384 355932 375706 415254 474576 553672 563559 622881 711864 751412 830508 949152 1107344 1127118 1245762 1314971 1423728 1502824 1661016 1690677 2214688 2254236 2491524 2629942 2847456 3005648 3322032 3381354 3944913 4508472 4983048 5259884 6011296 6644064 6762708 7889826 9016944 9966096 10519768 11834739 13525416 15779652 18033888 19932192 21039536 23669478 27050832 31559304 42079072 47338956 54101664 63118608 94677912 126237216 189355824 378711648