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3800640 = 263537107
BaseRepresentation
bin1110011111111001000000
321011002111110
432133321000
51433110030
6213243320
744206404
oct16377100
97132443
103800640
112166528
121333540
13a30bcc
1470d104
155011b0
hex39fe40

3800640 has 112 divisors (see below), whose sum is σ = 12508992. Its totient is φ = 976896.

The previous prime is 3800633. The next prime is 3800647. The reversal of 3800640 is 460083.

It is an interprime number because it is at equal distance from previous prime (3800633) and next prime (3800647).

It is not an unprimeable number, because it can be changed into a prime (3800647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35467 + ... + 35573.

Almost surely, 23800640 is an apocalyptic number.

3800640 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 3800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496).

3800640 is an abundant number, since it is smaller than the sum of its proper divisors (8708352).

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

3800640 is a wasteful number, since it uses less digits than its factorization.

3800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3800640 is about 1949.5230185869. The cubic root of 3800640 is about 156.0578352288.

The spelling of 3800640 in words is "three million, eight hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 107 111 120 148 160 185 192 214 222 240 296 320 321 370 428 444 480 535 555 592 642 740 856 888 960 1070 1110 1184 1284 1480 1605 1712 1776 2140 2220 2368 2568 2960 3210 3424 3552 3959 4280 4440 5136 5920 6420 6848 7104 7918 8560 8880 10272 11840 11877 12840 15836 17120 17760 19795 20544 23754 25680 31672 34240 35520 39590 47508 51360 59385 63344 79180 95016 102720 118770 126688 158360 190032 237540 253376 316720 380064 475080 633440 760128 950160 1266880 1900320 3800640