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2934432 = 253223443
BaseRepresentation
bin1011001100011010100000
312112002021200
423030122200
51222400212
6142521200
733641124
oct13143240
95462250
102934432
111724756
12b96200
137b9867
14565584
153ce6dc
hex2cc6a0

2934432 has 72 divisors (see below), whose sum is σ = 8727264. Its totient is φ = 933504.

The previous prime is 2934401. The next prime is 2934439. The reversal of 2934432 is 2344392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×29344322 = 17221782325248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2934396 and 2934405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6403 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (121212).

22934432 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 2934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363632).

2934432 is an abundant number, since it is smaller than the sum of its proper divisors (5792832).

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

2934432 is a wasteful number, since it uses less digits than its factorization.

2934432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2934432 is about 1713.0183886929. The cubic root of 2934432 is about 143.1664809243.

The spelling of 2934432 in words is "two million, nine hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 443 552 736 828 886 1104 1329 1656 1772 2208 2658 3312 3544 3987 5316 6624 7088 7974 10189 10632 14176 15948 20378 21264 30567 31896 40756 42528 61134 63792 81512 91701 122268 127584 163024 183402 244536 326048 366804 489072 733608 978144 1467216 2934432