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3377920 = 28571329
BaseRepresentation
bin1100111000101100000000
320100121122011
430320230000
51331043140
6200222304
740466110
oct14705400
96317564
103377920
1119a7977
12116a994
13913690
1463d040
1546acea
hex338b00

3377920 has 144 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1032192.

The previous prime is 3377911. The next prime is 3377923. The reversal of 3377920 is 297733.

It is a super-2 number, since 2×33779202 = 22820687052800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377923) 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, 116466 + ... + 116494.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

Almost surely, 23377920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

3377920 is an abundant number, since it is smaller than the sum of its proper divisors (6923840).

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

3377920 is a wasteful number, since it uses less digits than its factorization.

3377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 3377920 is about 1837.9118586048. The cubic root of 3377920 is about 150.0432467895.

The spelling of 3377920 in words is "three million, three hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 64 65 70 80 91 104 112 116 128 130 140 145 160 182 203 208 224 232 256 260 280 290 320 364 377 406 416 448 455 464 520 560 580 640 728 754 812 832 896 910 928 1015 1040 1120 1160 1280 1456 1508 1624 1664 1792 1820 1856 1885 2030 2080 2240 2320 2639 2912 3016 3248 3328 3640 3712 3770 4060 4160 4480 4640 5278 5824 6032 6496 7280 7424 7540 8120 8320 8960 9280 10556 11648 12064 12992 13195 14560 15080 16240 16640 18560 21112 23296 24128 25984 26390 29120 30160 32480 37120 42224 48256 51968 52780 58240 60320 64960 84448 96512 105560 116480 120640 129920 168896 211120 241280 259840 337792 422240 482560 675584 844480 1688960 3377920