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378313100 = 2252112391439
BaseRepresentation
bin10110100011001…
…001100110001100
3222100212022000022
4112203021212030
51233322004400
6101312321312
712242415434
oct2643114614
9870768008
10378313100
11184603260
12a6843238
13604ba409
143835b2c4
152332cb85
hex168c998c

378313100 has 72 divisors (see below), whose sum is σ = 899942400. Its totient is φ = 136897600.

The previous prime is 378313093. The next prime is 378313141. The reversal of 378313100 is 1313873.

It is a super-2 number, since 2×3783131002 = 286241603263220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378313100.

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 23 ways as a sum of consecutive naturals, for example, 262181 + ... + 263619.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2378313100 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 378313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

378313100 is an abundant number, since it is smaller than the sum of its proper divisors (521629300).

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

378313100 is a wasteful number, since it uses less digits than its factorization.

378313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 378313100 is about 19450.2724916645. The cubic root of 378313100 is about 723.2422579001.

Adding to 378313100 its reverse (1313873), we get a palindrome (379626973).

The spelling of 378313100 in words is "three hundred seventy-eight million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 239 275 478 550 956 1100 1195 1439 2390 2629 2878 4780 5258 5756 5975 7195 10516 11950 13145 14390 15829 23900 26290 28780 31658 35975 52580 63316 65725 71950 79145 131450 143900 158290 262900 316580 343921 395725 687842 791450 1375684 1582900 1719605 3439210 3783131 6878420 7566262 8598025 15132524 17196050 18915655 34392100 37831310 75662620 94578275 189156550 378313100