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4349002752 = 2103452433
BaseRepresentation
bin1000000110011100…
…01000010000000000
3102020002102020020000
410003032020100000
532401321042002
61555314120000
7212525625213
oct40316102000
912202366200
104349002752
111931998156
12a14580000
13544018a13
142d384177a
151a6c1361c
hex103388400

4349002752 has 110 divisors (see below), whose sum is σ = 12987220158. Its totient is φ = 1449639936.

The previous prime is 4349002751. The next prime is 4349002769. The reversal of 4349002752 is 2572009434.

It can be written as a sum of positive squares in only one way, i.e., 4124722176 + 224280576 = 64224^2 + 14976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4349002751) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 56728 + ... + 109160.

Almost surely, 24349002752 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 4349002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493610079).

4349002752 is an abundant number, since it is smaller than the sum of its proper divisors (8638217406).

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

4349002752 is an equidigital number, since it uses as much as digits as its factorization.

4349002752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52465 (or 52438 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4349002752 is about 65946.9692404435. The cubic root of 4349002752 is about 1632.2871467061.

The spelling of 4349002752 in words is "four billion, three hundred forty-nine million, two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 52433 82944 104866 157299 209732 314598 419464 471897 629196 838928 943794 1258392 1415691 1677856 1887588 2516784 2831382 3355712 3775176 4247073 5033568 5662764 6711424 7550352 8494146 10067136 11325528 13422848 15100704 16988292 20134272 22651056 26845696 30201408 33976584 40268544 45302112 53691392 60402816 67953168 80537088 90604224 120805632 135906336 161074176 181208448 241611264 271812672 362416896 483222528 543625344 724833792 1087250688 1449667584 2174501376 4349002752