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3489408 = 273213233
BaseRepresentation
bin1101010011111010000000
320120021120100
431103322000
51343130113
6202442400
741442126
oct15237200
96507510
103489408
111a7370a
121203400
13952350
1466b916
1548dd73
hex353e80

3489408 has 96 divisors (see below), whose sum is σ = 10859940. Its totient is φ = 1069056.

The previous prime is 3489397. The next prime is 3489413. The reversal of 3489408 is 8049843.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 419904 = 1752^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14860 + ... + 15092.

Almost surely, 23489408 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 3489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429970).

3489408 is an abundant number, since it is smaller than the sum of its proper divisors (7370532).

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

3489408 is a wasteful number, since it uses less digits than its factorization.

3489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3489408 is about 1867.9957173398. The cubic root of 3489408 is about 151.6761340680.

The spelling of 3489408 in words is "three million, four hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 233 234 288 312 384 416 466 468 576 624 699 832 932 936 1152 1248 1398 1664 1864 1872 2097 2496 2796 3029 3728 3744 4194 4992 5592 6058 7456 7488 8388 9087 11184 12116 14912 14976 16776 18174 22368 24232 27261 29824 33552 36348 44736 48464 54522 67104 72696 89472 96928 109044 134208 145392 193856 218088 268416 290784 387712 436176 581568 872352 1163136 1744704 3489408