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378833364 = 2232713197587
BaseRepresentation
bin10110100101001…
…000100111010100
3222101211201200100
4112211020213110
51233440131424
6101331414100
712250013310
oct2645104724
9871751610
10378833364
11184929128
12a6a54330
1360640170
1438454b40
15233d1dc9
hex169489d4

378833364 has 144 divisors (see below), whose sum is σ = 1186593408. Its totient is φ = 99235584.

The previous prime is 378833341. The next prime is 378833369. The reversal of 378833364 is 463338873.

378833364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378833369) 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 47 ways as a sum of consecutive naturals, for example, 645079 + ... + 645665.

It is an arithmetic number, because the mean of its divisors is an integer number (8240232).

Almost surely, 2378833364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378833364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593296704).

378833364 is an abundant number, since it is smaller than the sum of its proper divisors (807760044).

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

378833364 is a wasteful number, since it uses less digits than its factorization.

378833364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 378833364 is about 19463.6421052176. The cubic root of 378833364 is about 723.5736452737.

The spelling of 378833364 in words is "three hundred seventy-eight million, eight hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 197 234 252 273 364 394 468 546 587 591 788 819 1092 1174 1182 1379 1638 1761 1773 2348 2364 2561 2758 3276 3522 3546 4109 4137 5122 5283 5516 7044 7092 7631 7683 8218 8274 10244 10566 12327 12411 15262 15366 16436 16548 17927 21132 22893 23049 24654 24822 30524 30732 35854 36981 45786 46098 49308 49644 53417 53781 68679 71708 73962 91572 92196 106834 107562 115639 137358 147924 160251 161343 213668 215124 231278 274716 320502 322686 346917 462556 480753 641004 645372 693834 809473 961506 1040751 1387668 1503307 1618946 1923012 2081502 2428419 3006614 3237892 4163004 4509921 4856838 6013228 7285257 9019842 9713676 10523149 13529763 14570514 18039684 21046298 27059526 29141028 31569447 42092596 54119052 63138894 94708341 126277788 189416682 378833364