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378736020 = 223351353951
BaseRepresentation
bin10110100100110…
…000110110010100
3222101122210011000
4112210300312110
51233424023040
6101325343300
712246126435
oct2644606624
9871583130
10378736020
11184871a83
12a6a07b30
1360607a70
143842b48c
15233b3130
hex16930d94

378736020 has 96 divisors (see below), whose sum is σ = 1268951040. Its totient is φ = 93225600.

The previous prime is 378736019. The next prime is 378736031. The reversal of 378736020 is 20637873.

378736020 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19956 + ... + 33995.

It is an arithmetic number, because the mean of its divisors is an integer number (13218240).

Almost surely, 2378736020 is an apocalyptic number.

378736020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378736020 is an abundant number, since it is smaller than the sum of its proper divisors (890215020).

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

378736020 is a wasteful number, since it uses less digits than its factorization.

378736020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53982 (or 53974 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 378736020 is about 19461.1412820523. The cubic root of 378736020 is about 723.5116641201.

The spelling of 378736020 in words is "three hundred seventy-eight million, seven hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 53951 107902 161853 215804 269755 323706 485559 539510 647412 701363 809265 971118 1079020 1402726 1456677 1618530 1942236 2104089 2427795 2805452 2913354 3237060 3506815 4208178 4855590 5826708 6312267 7013630 7283385 8416356 9711180 10520445 12624534 14027260 14566770 18936801 21040890 25249068 29133540 31561335 37873602 42081780 63122670 75747204 94684005 126245340 189368010 378736020