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3013401000 = 233539191093
BaseRepresentation
bin1011001110011100…
…1101100110101000
321210000020122001110
42303213031212220
522132412313000
61215003350320
7134450325441
oct26347154650
97700218043
103013401000
111306a93855
127012223a0
133903c711c
142082d42c8
1512983e850
hexb39cd9a8

3013401000 has 128 divisors (see below), whose sum is σ = 9420652800. Its totient is φ = 801964800.

The previous prime is 3013400993. The next prime is 3013401023. The reversal of 3013401000 is 1043103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756454 + ... + 2757546.

It is an arithmetic number, because the mean of its divisors is an integer number (73598850).

Almost surely, 23013401000 is an apocalyptic number.

3013401000 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 3013401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710326400).

3013401000 is an abundant number, since it is smaller than the sum of its proper divisors (6407251800).

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

3013401000 is a wasteful number, since it uses less digits than its factorization.

3013401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3013401000 is about 54894.4532717104. The cubic root of 3013401000 is about 1444.3938901877.

Adding to 3013401000 its reverse (1043103), we get a palindrome (3014444103).

The spelling of 3013401000 in words is "three billion, thirteen million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 919 1000 1093 1500 1838 2186 2757 3000 3279 3676 4372 4595 5465 5514 6558 7352 8744 9190 10930 11028 13116 13785 16395 18380 21860 22056 22975 26232 27325 27570 32790 36760 43720 45950 54650 55140 65580 68925 81975 91900 109300 110280 114875 131160 136625 137850 163950 183800 218600 229750 273250 275700 327900 344625 409875 459500 546500 551400 655800 689250 819750 919000 1004467 1093000 1378500 1639500 2008934 2757000 3013401 3279000 4017868 5022335 6026802 8035736 10044670 12053604 15067005 20089340 24107208 25111675 30134010 40178680 50223350 60268020 75335025 100446700 120536040 125558375 150670050 200893400 251116750 301340100 376675125 502233500 602680200 753350250 1004467000 1506700500 3013401000