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3034541040 = 243534936229
BaseRepresentation
bin1011010011011111…
…0110101111110000
321211111000122201220
42310313312233300
522203320303130
61221040425040
7135125113266
oct26467665760
97744018656
103034541040
111317a12663
12708318180
133948b941b
1420b038436
1512b618410
hexb4df6bf0

3034541040 has 80 divisors (see below), whose sum is σ = 9434292000. Its totient is φ = 806870016.

The previous prime is 3034541039. The next prime is 3034541057. The reversal of 3034541040 is 401454303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3034541040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65646 + ... + 101874.

It is an arithmetic number, because the mean of its divisors is an integer number (117928650).

Almost surely, 23034541040 is an apocalyptic number.

3034541040 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 3034541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717146000).

3034541040 is an abundant number, since it is smaller than the sum of its proper divisors (6399750960).

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

3034541040 is a wasteful number, since it uses less digits than its factorization.

3034541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36594 (or 36588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3034541040 is about 55086.6684416475. The cubic root of 3034541040 is about 1447.7636616606.

Adding to 3034541040 its reverse (401454303), we get a palindrome (3435995343).

The spelling of 3034541040 in words is "three billion, thirty-four million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 16752 20940 27920 36229 41880 72458 83760 108687 144916 181145 217374 289832 362290 434748 543435 579664 724580 869496 1086870 1449160 1738992 2173740 2898320 4347480 8694960 12643921 25287842 37931763 50575684 63219605 75863526 101151368 126439210 151727052 189658815 202302736 252878420 303454104 379317630 505756840 606908208 758635260 1011513680 1517270520 3034541040