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2974464 = 28321291
BaseRepresentation
bin1011010110001100000000
312121010012100
423112030000
51230140324
6143430400
734165623
oct13261400
95533170
102974464
111751839
12bb5400
13801b4c
14575dba
153db4c9
hex2d6300

2974464 has 54 divisors (see below), whose sum is σ = 8582756. Its totient is φ = 990720.

The previous prime is 2974463. The next prime is 2974511. The reversal of 2974464 is 4644792.

2974464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2974463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1659 + ... + 2949.

22974464 is an apocalyptic number.

2974464 is a gapful number since it is divisible by the number (24) 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 2974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291378).

2974464 is an abundant number, since it is smaller than the sum of its proper divisors (5608292).

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

2974464 is a wasteful number, since it uses less digits than its factorization.

2974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1296 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2974464 is about 1724.6634454293. The cubic root of 2974464 is about 143.8145761534.

It can be divided in two parts, 297 and 4464, that added together give a square (4761 = 692).

The spelling of 2974464 in words is "two million, nine hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1291 2304 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 41312 46476 61968 82624 92952 123936 165248 185904 247872 330496 371808 495744 743616 991488 1487232 2974464