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3497984 = 213761
BaseRepresentation
bin1101010110000000000000
320120201022222
431112000000
51343413414
6202550212
741506130
oct15260000
96521288
103497984
111a7a0a6
121208368
13956219
14670ac0
1549168e
hex356000

3497984 has 56 divisors (see below), whose sum is σ = 8125968. Its totient is φ = 1474560.

The previous prime is 3497959. The next prime is 3497987. The reversal of 3497984 is 4897943.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57314 + ... + 57374.

Almost surely, 23497984 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 3497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062984).

3497984 is an abundant number, since it is smaller than the sum of its proper divisors (4627984).

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

3497984 is an frugal number, since it uses more digits than its factorization.

3497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 3497984 is about 1870.2898171139. The cubic root of 3497984 is about 151.8002917408.

The spelling of 3497984 in words is "three million, four hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 854 896 976 1024 1708 1792 1952 2048 3416 3584 3904 4096 6832 7168 7808 8192 13664 14336 15616 27328 28672 31232 54656 57344 62464 109312 124928 218624 249856 437248 499712 874496 1748992 3497984