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3374640 = 2432543109
BaseRepresentation
bin1100110111111000110000
320100110010200
430313320300
51330442030
6200155200
740453413
oct14677060
96313120
103374640
1119a5465
121168b00
13912039
1463bb7a
15469d60
hex337e30

3374640 has 120 divisors (see below), whose sum is σ = 11703120. Its totient is φ = 870912.

The previous prime is 3374621. The next prime is 3374671. The reversal of 3374640 is 464733.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33746402 = 22776390259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30906 + ... + 31014.

It is an arithmetic number, because the mean of its divisors is an integer number (97526).

Almost surely, 23374640 is an apocalyptic number.

3374640 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 3374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851560).

3374640 is an abundant number, since it is smaller than the sum of its proper divisors (8328480).

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

3374640 is a wasteful number, since it uses less digits than its factorization.

3374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3374640 is about 1837.0193248847. The cubic root of 3374640 is about 149.9946664770.

The spelling of 3374640 in words is "three million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 109 120 129 144 172 180 215 218 240 258 327 344 360 387 430 436 516 545 645 654 688 720 774 860 872 981 1032 1090 1290 1308 1548 1635 1720 1744 1935 1962 2064 2180 2580 2616 3096 3270 3440 3870 3924 4360 4687 4905 5160 5232 6192 6540 7740 7848 8720 9374 9810 10320 13080 14061 15480 15696 18748 19620 23435 26160 28122 30960 37496 39240 42183 46870 56244 70305 74992 78480 84366 93740 112488 140610 168732 187480 210915 224976 281220 337464 374960 421830 562440 674928 843660 1124880 1687320 3374640