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378332260 = 22529283271
BaseRepresentation
bin10110100011001…
…110010001100100
3222100220021021221
4112203032101210
51233323113020
6101312550124
712242525335
oct2643162144
9870807257
10378332260
11184616699
12a6852344
13604c6057
143836428c
15233336aa
hex168ce464

378332260 has 72 divisors (see below), whose sum is σ = 835825536. Its totient is φ = 143821440.

The previous prime is 378332257. The next prime is 378332261. The reversal of 378332260 is 62233873.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (378332261) 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, 1395925 + ... + 1396195.

It is an arithmetic number, because the mean of its divisors is an integer number (11608688).

Almost surely, 2378332260 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 378332260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417912768).

378332260 is an abundant number, since it is smaller than the sum of its proper divisors (457493276).

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

378332260 is a wasteful number, since it uses less digits than its factorization.

378332260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 378332260 is about 19450.7650235151. The cubic root of 378332260 is about 723.2544674409.

The spelling of 378332260 in words is "three hundred seventy-eight million, three hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 271 290 332 415 542 580 830 841 1084 1355 1660 1682 2407 2710 3364 4205 4814 5420 7859 8410 9628 12035 15718 16820 22493 24070 31436 39295 44986 48140 69803 78590 89972 112465 139606 157180 224930 227911 279212 349015 449860 455822 652297 698030 911644 1139555 1304594 1396060 2279110 2609188 3261485 4558220 6522970 13045940 18916613 37833226 75666452 94583065 189166130 378332260