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3804484080 = 243525761681
BaseRepresentation
bin1110001011000011…
…1101000111110000
3100211010210211000210
43202300331013300
530242421442310
61425303144120
7163164403215
oct34260750760
910733724023
103804484080
111682594221
128a2145040
13488277417
142813bbb0c
15174004820
hexe2c3d1f0

3804484080 has 80 divisors (see below), whose sum is σ = 11839983264. Its totient is φ = 1010565120.

The previous prime is 3804484049. The next prime is 3804484091. The reversal of 3804484080 is 804844083.

3804484080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×38044840802 = 28948198229946892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30840 + ... + 92520.

Almost surely, 23804484080 is an apocalyptic number.

3804484080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 61680×61681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3804484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919991632).

3804484080 is an abundant number, since it is smaller than the sum of its proper divisors (8035499184).

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

3804484080 is a wasteful number, since it uses less digits than its factorization.

3804484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61954 (or 61948 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 3804484080 is about 61680.4999979734. The cubic root of 3804484080 is about 1561.1043134116.

The spelling of 3804484080 in words is "three billion, eight hundred four million, four hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 12336 15420 20560 30840 61680 61681 123362 185043 246724 308405 370086 493448 616810 740172 925215 986896 1233620 1480344 1850430 2467240 2960688 3700860 4934480 7401720 14803440 15852017 31704034 47556051 63408068 79260085 95112102 126816136 158520170 190224204 237780255 253632272 317040340 380448408 475560510 634080680 760896816 951121020 1268161360 1902242040 3804484080