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3004354100 = 22521119433343
BaseRepresentation
bin1011001100010010…
…1100111000110100
321202101020000001002
42303010230320310
522123103312400
61214041422432
7134310405566
oct26304547064
97671200032
103004354100
111301974780
126ba19aa18
1338b57a327
1420701b336
15128b53ed5
hexb312ce34

3004354100 has 144 divisors (see below), whose sum is σ = 7662842880. Its totient is φ = 1010620800.

The previous prime is 3004354099. The next prime is 3004354109. The reversal of 3004354100 is 14534003.

It is a super-2 number, since 2×30043541002 = 18052287116373620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004354109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897029 + ... + 900371.

Almost surely, 23004354100 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 3004354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831421440).

3004354100 is an abundant number, since it is smaller than the sum of its proper divisors (4658488780).

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

3004354100 is a wasteful number, since it uses less digits than its factorization.

3004354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3004354100 is about 54811.9886521188. The cubic root of 3004354100 is about 1442.9469773355.

Adding to 3004354100 its reverse (14534003), we get a palindrome (3018888103).

The spelling of 3004354100 in words is "three billion, four million, three hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 43 44 50 55 76 86 95 100 110 172 190 209 215 220 275 380 418 430 473 475 550 817 836 860 946 950 1045 1075 1100 1634 1892 1900 2090 2150 2365 3268 3343 4085 4180 4300 4730 5225 6686 8170 8987 9460 10450 11825 13372 16340 16715 17974 20425 20900 23650 33430 35948 36773 40850 44935 47300 63517 66860 73546 81700 83575 89870 127034 143749 147092 167150 179740 183865 224675 254068 287498 317585 334300 367730 449350 574996 635170 698687 718745 735460 898700 919325 1270340 1397374 1437490 1581239 1587925 1838650 2731231 2794748 2874980 3162478 3175850 3493435 3593725 3677300 5462462 6324956 6351700 6986870 7187450 7906195 10924924 13656155 13973740 14374900 15812390 17467175 27312310 30043541 31624780 34934350 39530975 54624620 60087082 68280775 69868700 79061950 120174164 136561550 150217705 158123900 273123100 300435410 600870820 751088525 1502177050 3004354100