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3421304400 = 2435217167711
BaseRepresentation
bin1100101111101100…
…1111011001010000
322211102210021022210
43023323033121100
524001323220100
61323254232120
7150532415253
oct31373173120
98742707283
103421304400
1114a62676a8
127b5955640
13426a74b97
1424655509a
15150564c50
hexcbecf650

3421304400 has 120 divisors (see below), whose sum is σ = 11604328704. Its totient is φ = 858675200.

The previous prime is 3421304371. The next prime is 3421304431. The reversal of 3421304400 is 44031243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63456 + ... + 104255.

Almost surely, 23421304400 is an apocalyptic number.

3421304400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3421304400 is an abundant number, since it is smaller than the sum of its proper divisors (8183024304).

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

3421304400 is a wasteful number, since it uses less digits than its factorization.

3421304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167749 (or 167738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3421304400 is about 58491.9173903540. The cubic root of 3421304400 is about 1506.8287758153.

Adding to 3421304400 its reverse (44031243), we get a palindrome (3465335643).

The spelling of 3421304400 in words is "three billion, four hundred twenty-one million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 167711 335422 503133 670844 838555 1006266 1341688 1677110 2012532 2515665 2683376 2851087 3354220 4025064 4192775 5031330 5702174 6708440 8050128 8385550 8553261 10062660 11404348 12578325 13416880 14255435 16771100 17106522 20125320 22808696 25156650 28510870 33542200 34213044 40250640 42766305 45617392 50313300 57021740 67084400 68426088 71277175 85532610 100626600 114043480 136852176 142554350 171065220 201253200 213831525 228086960 285108700 342130440 427663050 570217400 684260880 855326100 1140434800 1710652200 3421304400