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378066416 = 24713733557
BaseRepresentation
bin10110100010001…
…101010111110000
3222100101202121212
4112202031113300
51233241111131
6101303135252
712240340310
oct2642152760
9870352555
10378066416
11184454992
12a6744528
1360432050
14382d5440
15232cea2b
hex1688d5f0

378066416 has 80 divisors (see below), whose sum is σ = 914149824. Its totient is φ = 147474432.

The previous prime is 378066413. The next prime is 378066419. The reversal of 378066416 is 614660873.

It is an interprime number because it is at equal distance from previous prime (378066413) and next prime (378066419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378066413) 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, 104510 + ... + 108066.

Almost surely, 2378066416 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 378066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457074912).

378066416 is an abundant number, since it is smaller than the sum of its proper divisors (536083408).

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

378066416 is a wasteful number, since it uses less digits than its factorization.

378066416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 378066416 is about 19443.9300554183. The cubic root of 378066416 is about 723.0850238649.

The spelling of 378066416 in words is "three hundred seventy-eight million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 182 208 292 364 511 584 728 949 1022 1168 1456 1898 2044 3557 3796 4088 6643 7114 7592 8176 13286 14228 15184 24899 26572 28456 46241 49798 53144 56912 92482 99596 106288 184964 199192 259661 323687 369928 398384 519322 647374 739856 1038644 1294748 1817627 2077288 2589496 3375593 3635254 4154576 5178992 6751186 7270508 13502372 14541016 23629151 27004744 29082032 47258302 54009488 94516604 189033208 378066416