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378335056 = 24112732677
BaseRepresentation
bin10110100011001…
…110111101010000
3222100220102010111
4112203032331100
51233323210211
6101313011104
712242536441
oct2643167520
9870812114
10378335056
11184618800
12a6853a94
13604c73c8
14383652c8
1523334421
hex168cef50

378335056 has 60 divisors (see below), whose sum is σ = 817063156. Its totient is φ = 169551360.

The previous prime is 378334933. The next prime is 378335057. The reversal of 378335056 is 650533873.

It is a happy number.

378335056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 292957456 = 9240^2 + 17116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378335057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139990 + ... + 142666.

Almost surely, 2378335056 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 378335056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408531578).

378335056 is an abundant number, since it is smaller than the sum of its proper divisors (438728100).

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

378335056 is a wasteful number, since it uses less digits than its factorization.

378335056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 378335056 is about 19450.8368971620. The cubic root of 378335056 is about 723.2562491328.

The spelling of 378335056 in words is "three hundred seventy-eight million, three hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 73 88 121 146 176 242 292 484 584 803 968 1168 1606 1936 2677 3212 5354 6424 8833 10708 12848 17666 21416 29447 35332 42832 58894 70664 117788 141328 195421 235576 323917 390842 471152 647834 781684 1295668 1563368 2149631 2591336 3126736 4299262 5182672 8598524 17197048 23645941 34394096 47291882 94583764 189167528 378335056