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3455040 = 26355961
BaseRepresentation
bin1101001011100001000000
320111112102110
431023201000
51341030130
6202015320
741240001
oct15134100
96445373
103455040
111a4a906
1211a7540
1393c804
1465d1a8
15483ab0
hex34b840

3455040 has 112 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 890880.

The previous prime is 3455033. The next prime is 3455051. The reversal of 3455040 is 405543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3454998 and 3455016.

It is a congruent number.

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, 56610 + ... + 56670.

Almost surely, 23455040 is an apocalyptic number.

3455040 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 3455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

3455040 is an abundant number, since it is smaller than the sum of its proper divisors (7883520).

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

3455040 is a wasteful number, since it uses less digits than its factorization.

3455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3455040 is about 1858.7737893568. The cubic root of 3455040 is about 151.1765255682.

The spelling of 3455040 in words is "three million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 61 64 80 96 118 120 122 160 177 183 192 236 240 244 295 305 320 354 366 472 480 488 590 610 708 732 885 915 944 960 976 1180 1220 1416 1464 1770 1830 1888 1952 2360 2440 2832 2928 3540 3599 3660 3776 3904 4720 4880 5664 5856 7080 7198 7320 9440 9760 10797 11328 11712 14160 14396 14640 17995 18880 19520 21594 28320 28792 29280 35990 43188 53985 56640 57584 58560 71980 86376 107970 115168 143960 172752 215940 230336 287920 345504 431880 575840 691008 863760 1151680 1727520 3455040