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378025728 = 2834311447
BaseRepresentation
bin10110100010000…
…011011100000000
3222100022200210220
4112202003130000
51233233310403
6101302223040
712240110553
oct2642033400
9870280726
10378025728
11184427363
12a6724a80
1360419682
14382c469a
15232c2953
hex16883700

378025728 has 72 divisors (see below), whose sum is σ = 1029587328. Its totient is φ = 123067392.

The previous prime is 378025727. The next prime is 378025751. The reversal of 378025728 is 827520873.

It is a self number, because there is not a number n which added to its sum of digits gives 378025728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378025721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27301 + ... + 38747.

It is an arithmetic number, because the mean of its divisors is an integer number (14299824).

Almost surely, 2378025728 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 378025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514793664).

378025728 is an abundant number, since it is smaller than the sum of its proper divisors (651561600).

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

378025728 is a wasteful number, since it uses less digits than its factorization.

378025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 378025728 is about 19442.8837367300. The cubic root of 378025728 is about 723.0590831503.

The spelling of 378025728 in words is "three hundred seventy-eight million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 5504 8256 11008 11447 16512 22894 33024 34341 45788 68682 91576 137364 183152 274728 366304 492221 549456 732608 984442 1098912 1465216 1476663 1968884 2197824 2930432 2953326 3937768 4395648 5906652 7875536 8791296 11813304 15751072 23626608 31502144 47253216 63004288 94506432 126008576 189012864 378025728