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378101412 = 223313713793
BaseRepresentation
bin10110100010010…
…101111010100100
3222100110112122000
4112202111322210
51233243221122
6101304005300
712240544323
oct2642257244
9870415560
10378101412
11184479207
12a6760830
1360444c60
14383040ba
15232da0ac
hex16895ea4

378101412 has 96 divisors (see below), whose sum is σ = 1070818560. Its totient is φ = 114670080.

The previous prime is 378101411. The next prime is 378101419. The reversal of 378101412 is 214101873.

378101412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (378101411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97788 + ... + 101580.

It is an arithmetic number, because the mean of its divisors is an integer number (11154360).

Almost surely, 2378101412 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 378101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535409280).

378101412 is an abundant number, since it is smaller than the sum of its proper divisors (692717148).

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

378101412 is a wasteful number, since it uses less digits than its factorization.

378101412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 378101412 is about 19444.8299555435. The cubic root of 378101412 is about 723.1073341448.

The spelling of 378101412 in words is "three hundred seventy-eight million, one hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 426 468 639 702 852 923 1278 1404 1846 1917 2556 2769 3692 3793 3834 5538 7586 7668 8307 11076 11379 15172 16614 22758 24921 33228 34137 45516 49309 49842 68274 98618 99684 102411 136548 147927 197236 204822 269303 295854 409644 443781 538606 591708 807909 887562 1077212 1331343 1615818 1775124 2423727 2662686 3231636 3500939 4847454 5325372 7001878 7271181 9694908 10502817 14003756 14542362 21005634 29084724 31508451 42011268 63016902 94525353 126033804 189050706 378101412