[go: up one dir, main page]

Search a number
-
+
3200004420 = 2235296727449
BaseRepresentation
bin1011111010111100…
…0011000101000100
322021000101001211020
42332233003011010
523023200120140
61245311111140
7142204405644
oct27657030504
98230331736
103200004420
1113a2356758
127538124b0
133bcc70852
14224dca524
1513adee6d0
hexbebc3144

3200004420 has 96 divisors (see below), whose sum is σ = 9407664000. Its totient is φ = 811582464.

The previous prime is 3200004389. The next prime is 3200004433. The reversal of 3200004420 is 244000023.

It is a happy number.

3200004420 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3200004420.

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, 102856 + ... + 130304.

It is an arithmetic number, because the mean of its divisors is an integer number (97996500).

Almost surely, 23200004420 is an apocalyptic number.

3200004420 is a gapful number since it is divisible by the number (30) 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 3200004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703832000).

3200004420 is an abundant number, since it is smaller than the sum of its proper divisors (6207659580).

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

3200004420 is a wasteful number, since it uses less digits than its factorization.

3200004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27557 (or 27555 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3200004420 is about 56568.5815625600. The cubic root of 3200004420 is about 1473.6132779316.

Adding to 3200004420 its reverse (244000023), we get a palindrome (3444004443).

The spelling of 3200004420 in words is "three billion, two hundred million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 201 268 290 335 348 402 435 580 670 804 870 1005 1340 1740 1943 2010 3886 4020 5829 7772 9715 11658 19430 23316 27449 29145 38860 54898 58290 82347 109796 116580 137245 164694 274490 329388 411735 548980 796021 823470 1592042 1646940 1839083 2388063 3184084 3678166 3980105 4776126 5517249 7356332 7960210 9195415 9552252 11034498 11940315 15920420 18390830 22068996 23880630 27586245 36781660 47761260 53333407 55172490 106666814 110344980 160000221 213333628 266667035 320000442 533334070 640000884 800001105 1066668140 1600002210 3200004420