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378524256 = 253113471033
BaseRepresentation
bin10110100011111…
…101001001100000
3222101021000122220
4112203331021200
51233400234011
6101321031040
712244255155
oct2643751140
9871230586
10378524256
11184737970
12a6925480
1360562566
14383b422c
1523370506
hex168fd260

378524256 has 96 divisors (see below), whose sum is σ = 1088131968. Its totient is φ = 114263040.

The previous prime is 378524221. The next prime is 378524257. The reversal of 378524256 is 652425873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3785242562 = 286561224760707072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378524257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365916 + ... + 366948.

It is an arithmetic number, because the mean of its divisors is an integer number (11334708).

Almost surely, 2378524256 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 378524256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544065984).

378524256 is an abundant number, since it is smaller than the sum of its proper divisors (709607712).

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

378524256 is a wasteful number, since it uses less digits than its factorization.

378524256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 378524256 is about 19455.6998332108. The cubic root of 378524256 is about 723.3767924412.

The spelling of 378524256 in words is "three hundred seventy-eight million, five hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 347 352 528 694 1033 1041 1056 1388 2066 2082 2776 3099 3817 4132 4164 5552 6198 7634 8264 8328 11104 11363 11451 12396 15268 16528 16656 22726 22902 24792 30536 33056 33312 34089 45452 45804 49584 61072 68178 90904 91608 99168 122144 136356 181808 183216 272712 358451 363616 366432 545424 716902 1075353 1090848 1433804 2150706 2867608 3942961 4301412 5735216 7885922 8602824 11470432 11828883 15771844 17205648 23657766 31543688 34411296 47315532 63087376 94631064 126174752 189262128 378524256