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3801840 = 243573173
BaseRepresentation
bin1110100000001011110000
321011011010220
432200023300
51433124330
6213253040
744213040
oct16401360
97134126
103801840
112167419
121334180
13a31613
1470d720
15501710
hex3a02f0

3801840 has 160 divisors (see below), whose sum is σ = 14094336. Its totient is φ = 829440.

The previous prime is 3801839. The next prime is 3801857. The reversal of 3801840 is 481083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3801840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52044 + ... + 52116.

Almost surely, 23801840 is an apocalyptic number.

3801840 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 3801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047168).

3801840 is an abundant number, since it is smaller than the sum of its proper divisors (10292496).

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

3801840 is a wasteful number, since it uses less digits than its factorization.

3801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3801840 is about 1949.8307618868. The cubic root of 3801840 is about 156.0742578749.

The spelling of 3801840 in words is "three million, eight hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 73 80 84 93 105 112 120 124 140 146 155 168 186 210 217 219 240 248 280 292 310 336 365 372 420 434 438 465 496 511 560 584 620 651 730 744 840 868 876 930 1022 1085 1095 1168 1240 1302 1460 1488 1533 1680 1736 1752 1860 2044 2170 2190 2263 2480 2555 2604 2920 3066 3255 3472 3504 3720 4088 4340 4380 4526 5110 5208 5840 6132 6510 6789 7440 7665 8176 8680 8760 9052 10220 10416 11315 12264 13020 13578 15330 15841 17360 17520 18104 20440 22630 24528 26040 27156 30660 31682 33945 36208 40880 45260 47523 52080 54312 61320 63364 67890 79205 90520 95046 108624 122640 126728 135780 158410 181040 190092 237615 253456 271560 316820 380184 475230 543120 633640 760368 950460 1267280 1900920 3801840