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378689472 = 2633731307
BaseRepresentation
bin10110100100100…
…101011111000000
3222101120102022000
4112210211133000
51233421030342
6101324344000
712245543640
oct2644453700
9871512260
10378689472
11184840007
12a69a5000
13605bc815
1438418520
15233a444c
hex169257c0

378689472 has 112 divisors (see below), whose sum is σ = 1272357120. Its totient is φ = 108193536.

The previous prime is 378689449. The next prime is 378689483. The reversal of 378689472 is 274986873.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3558 + ... + 27749.

Almost surely, 2378689472 is an apocalyptic number.

378689472 is a gapful number since it is divisible by the number (32) 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 378689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636178560).

378689472 is an abundant number, since it is smaller than the sum of its proper divisors (893667648).

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

378689472 is a wasteful number, since it uses less digits than its factorization.

378689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31335 (or 31319 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 378689472 is about 19459.9453236642. The cubic root of 378689472 is about 723.4820221892.

The spelling of 378689472 in words is "three hundred seventy-eight million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 31307 62614 93921 125228 187842 219149 250456 281763 375684 438298 500912 563526 657447 751368 845289 876596 1001824 1127052 1314894 1502736 1690578 1753192 1972341 2003648 2254104 2629788 3005472 3381156 3506384 3944682 4508208 5259576 5917023 6010944 6762312 7012768 7889364 9016416 10519152 11834046 13524624 14025536 15778728 18032832 21038304 23668092 27049248 31557456 42076608 47336184 54098496 63114912 94672368 126229824 189344736 378689472