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3441934224 = 243248892
BaseRepresentation
bin1100110100100111…
…1011111110010000
322212212121101010100
43031021323332100
524022113343344
61325312332400
7151202646441
oct31511737620
98785541110
103441934224
111506978143
12800844100
1342b118b91
142491a52c8
1515228c569
hexcd27bf90

3441934224 has 45 divisors (see below), whose sum is σ = 9634606033. Its totient is φ = 1147076736.

The previous prime is 3441934207. The next prime is 3441934241. The reversal of 3441934224 is 4224391443.

The square root of 3441934224 is 58668.

It is a perfect power (a square), and thus also a powerful number.

3441934224 is a `hidden beast` number, since 3 + 44 + 193 + 422 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3441934207) and next prime (3441934241).

It can be written as a sum of positive squares in only one way, i.e., 2407668624 + 1034265600 = 49068^2 + 32160^2 .

It is a super-2 number, since 2×34419342242 = 23693822404684964352, which contains 22 as substring.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 701572 + ... + 706460.

Almost surely, 23441934224 is an apocalyptic number.

3441934224 is the 58668-th square number.

It is an amenable number.

3441934224 is an abundant number, since it is smaller than the sum of its proper divisors (6192671809).

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

3441934224 is an frugal number, since it uses more digits than its factorization.

3441934224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 4894 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The cubic root of 3441934224 is about 1509.8513404225.

Multiplying 3441934224 by its sum of digits (36), we get a square (123909632064 = 3520082).

3441934224 divided by its sum of digits (36) gives a square (95609284 = 97782).

Multiplying 3441934224 by its product of digits (82944), we get a square (285487792275456 = 168963842).

The spelling of 3441934224 in words is "three billion, four hundred forty-one million, nine hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4889 9778 14667 19556 29334 39112 44001 58668 78224 88002 117336 176004 234672 352008 704016 23902321 47804642 71706963 95609284 143413926 191218568 215120889 286827852 382437136 430241778 573655704 860483556 1147311408 1720967112 3441934224