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3730080 = 253519409
BaseRepresentation
bin1110001110101010100000
321000111201010
432032222200
51423330310
6211540520
743463604
oct16165240
97014633
103730080
112118512
1212ba740
13a07a63
146d1504
154da320
hex38eaa0

3730080 has 96 divisors (see below), whose sum is σ = 12398400. Its totient is φ = 940032.

The previous prime is 3730063. The next prime is 3730093. The reversal of 3730080 is 800373.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8916 + ... + 9324.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

Almost surely, 23730080 is an apocalyptic number.

3730080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199200).

3730080 is an abundant number, since it is smaller than the sum of its proper divisors (8668320).

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

3730080 is a wasteful number, since it uses less digits than its factorization.

3730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3730080 is about 1931.3415026867. The cubic root of 3730080 is about 155.0860431047.

The spelling of 3730080 in words is "three million, seven hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 409 456 480 570 608 760 818 912 1140 1227 1520 1636 1824 2045 2280 2454 3040 3272 4090 4560 4908 6135 6544 7771 8180 9120 9816 12270 13088 15542 16360 19632 23313 24540 31084 32720 38855 39264 46626 49080 62168 65440 77710 93252 98160 116565 124336 155420 186504 196320 233130 248672 310840 373008 466260 621680 746016 932520 1243360 1865040 3730080