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4234204002 = 2373713811973
BaseRepresentation
bin1111110001100000…
…1101001101100010
3101221002101211221110
43330120031031202
532132424012002
61540053404150
7206633066040
oct37430151542
911832354843
104234204002
111883109156
129a2039656
135262c3372
142c24bb390
1519bad8e6c
hexfc60d362

4234204002 has 64 divisors (see below), whose sum is σ = 9951992064. Its totient is φ = 1175627520.

The previous prime is 4234203997. The next prime is 4234204049. The reversal of 4234204002 is 2004024324.

4234204002 is digitally balanced in base 2, 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4234204002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2145088 + ... + 2147060.

It is an arithmetic number, because the mean of its divisors is an integer number (155499876).

Almost surely, 24234204002 is an apocalyptic number.

4234204002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234204002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975996032).

4234204002 is an abundant number, since it is smaller than the sum of its proper divisors (5717788062).

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

4234204002 is a wasteful number, since it uses less digits than its factorization.

4234204002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4234204002 is about 65070.7614985410. The cubic root of 4234204002 is about 1617.7966288362.

Adding to 4234204002 its reverse (2004024324), we get a palindrome (6238228326).

The spelling of 4234204002 in words is "four billion, two hundred thirty-four million, two hundred four thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1381 1554 1973 2762 3946 4143 5919 8286 9667 11838 13811 19334 27622 29001 41433 51097 58002 73001 82866 102194 146002 153291 219003 306582 357679 438006 511007 715358 1022014 1073037 1533021 2146074 2724713 3066042 5449426 8174139 16348278 19072991 38145982 57218973 100814381 114437946 201628762 302443143 604886286 705700667 1411401334 2117102001 4234204002