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3455676 = 223372653
BaseRepresentation
bin1101001011101010111100
320111120022000
431023222330
51341040201
6202022300
741241600
oct15135274
96446260
103455676
111a50334
1211a7990
1393cba3
1465d500
15483d86
hex34babc

3455676 has 72 divisors (see below), whose sum is σ = 10437840. Its totient is φ = 985824.

The previous prime is 3455633. The next prime is 3455719. The reversal of 3455676 is 6765543.

3455676 is a `hidden beast` number, since 34 + 556 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (3455633) and next prime (3455719).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3455676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (144970).

Almost surely, 23455676 is an apocalyptic number.

3455676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3455676 is the 1176-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218920).

3455676 is an abundant number, since it is smaller than the sum of its proper divisors (6982164).

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

3455676 is a wasteful number, since it uses less digits than its factorization.

3455676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3455676 is about 1858.9448620118. The cubic root of 3455676 is about 151.1858011358.

The spelling of 3455676 in words is "three million, four hundred fifty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 653 756 882 1306 1323 1764 1959 2612 2646 3918 4571 5292 5877 7836 9142 11754 13713 17631 18284 23508 27426 31997 35262 41139 54852 63994 70524 82278 95991 123417 127988 164556 191982 246834 287973 383964 493668 575946 863919 1151892 1727838 3455676