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3402044000 = 25533172683
BaseRepresentation
bin1100101011000111…
…0001001001100000
322210002112202000122
43022301301021200
523431410402000
61321325335412
7150206616425
oct31261611140
98702482018
103402044000
111496402013
127ab407568
13422a902b4
14243b7dd4c
1514da0d085
hexcac71260

3402044000 has 96 divisors (see below), whose sum is σ = 8388315936. Its totient is φ = 1356019200.

The previous prime is 3402043991. The next prime is 3402044033. The reversal of 3402044000 is 4402043.

It is a self number, because there is not a number n which added to its sum of digits gives 3402044000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266659 + ... + 1269341.

It is an arithmetic number, because the mean of its divisors is an integer number (87378291).

Almost surely, 23402044000 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 3402044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194157968).

3402044000 is an abundant number, since it is smaller than the sum of its proper divisors (4986271936).

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

3402044000 is a wasteful number, since it uses less digits than its factorization.

3402044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3402044000 is about 58327.0434704177. The cubic root of 3402044000 is about 1503.9958644446.

Adding to 3402044000 its reverse (4402043), we get a palindrome (3406446043).

The spelling of 3402044000 in words is "three billion, four hundred two million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 317 400 500 634 800 1000 1268 1585 2000 2536 2683 3170 4000 5072 5366 6340 7925 10144 10732 12680 13415 15850 21464 25360 26830 31700 39625 42928 50720 53660 63400 67075 79250 85856 107320 126800 134150 158500 214640 253600 268300 317000 335375 429280 536600 634000 670750 850511 1073200 1268000 1341500 1701022 2146400 2683000 3402044 4252555 5366000 6804088 8505110 10732000 13608176 17010220 21262775 27216352 34020440 42525550 68040880 85051100 106313875 136081760 170102200 212627750 340204400 425255500 680408800 850511000 1701022000 3402044000