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378144468 = 2232131515351
BaseRepresentation
bin10110100010100…
…000011011010100
3222100112201200200
4112202200123110
51233301110333
6101304540500
712241114002
oct2642403324
9870481620
10378144468
111844a8599
12a6781730
136045b730
1438315a72
15232e7c13
hex168a06d4

378144468 has 72 divisors (see below), whose sum is σ = 1036404096. Its totient is φ = 115560000.

The previous prime is 378144467. The next prime is 378144491. The reversal of 378144468 is 864441873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378144461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67993 + ... + 73343.

Almost surely, 2378144468 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 378144468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518202048).

378144468 is an abundant number, since it is smaller than the sum of its proper divisors (658259628).

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

378144468 is a wasteful number, since it uses less digits than its factorization.

378144468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525 (or 5520 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 378144468 is about 19445.9370563622. The cubic root of 378144468 is about 723.1347808621.

The spelling of 378144468 in words is "three hundred seventy-eight million, one hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 604 906 1359 1812 1963 2718 3926 5351 5436 5889 7852 10702 11778 16053 17667 21404 23556 32106 35334 48159 64212 69563 70668 96318 139126 192636 208689 278252 417378 626067 808001 834756 1252134 1616002 2424003 2504268 3232004 4848006 7272009 9696012 10504013 14544018 21008026 29088036 31512039 42016052 63024078 94536117 126048156 189072234 378144468