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3341040000 = 2735413921
BaseRepresentation
bin1100011100100100…
…0011100110000000
322121211202102021020
43013021003212000
523320301240000
61311310025440
7145536241254
oct30711034600
98554672236
103341040000
111464a25891
12792aa8280
1341325135c
14239a20264
151484acba0
hexc7243980

3341040000 has 160 divisors (see below), whose sum is σ = 11090543640. Its totient is φ = 890880000.

The previous prime is 3341039969. The next prime is 3341040013. The reversal of 3341040000 is 401433.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33410400002 = 22325096563200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 233040 + ... + 246960.

Almost surely, 23341040000 is an apocalyptic number.

3341040000 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 3341040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545271820).

3341040000 is an abundant number, since it is smaller than the sum of its proper divisors (7749503640).

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

3341040000 is an equidigital number, since it uses as much as digits as its factorization.

3341040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3341040000 is about 57801.7300779138. The cubic root of 3341040000 is about 1494.9519192003.

Adding to 3341040000 its reverse (401433), we get a palindrome (3341441433).

The spelling of 3341040000 in words is "three billion, three hundred forty-one million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 13921 15000 16000 20000 24000 27842 30000 40000 41763 48000 55684 60000 69605 80000 83526 111368 120000 139210 167052 208815 222736 240000 278420 334104 348025 417630 445472 556840 668208 696050 835260 890944 1044075 1113680 1336416 1392100 1670520 1740125 1781888 2088150 2227360 2672832 2784200 3341040 3480250 4176300 4454720 5220375 5345664 5568400 6682080 6960500 8352600 8700625 8909440 10440750 11136800 13364160 13921000 16705200 17401250 20881500 22273600 26101875 26728320 27842000 33410400 34802500 41763000 44547200 52203750 55684000 66820800 69605000 83526000 104407500 111368000 133641600 139210000 167052000 208815000 222736000 278420000 334104000 417630000 556840000 668208000 835260000 1113680000 1670520000 3341040000