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3420689400 = 233352633461
BaseRepresentation
bin1100101111100011…
…1001001111111000
322211101122000201000
43023320321033320
524001144030100
61323233125000
7150524244252
oct31370711770
98741560630
103420689400
1114a5987637
127b56b9760
134268bac8b
14246434cd2
15150492900
hexcbe393f8

3420689400 has 96 divisors (see below), whose sum is σ = 11782393200. Its totient is φ = 912182400.

The previous prime is 3420689399. The next prime is 3420689443. The reversal of 3420689400 is 49860243.

It is a happy number.

It is a super-2 number, since 2×34206894002 = 23402231942544720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311331 + ... + 322130.

Almost surely, 23420689400 is an apocalyptic number.

3420689400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420689400 is an abundant number, since it is smaller than the sum of its proper divisors (8361703800).

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

3420689400 is a wasteful number, since it uses less digits than its factorization.

3420689400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633486 (or 633471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3420689400 is about 58486.6600174775. The cubic root of 3420689400 is about 1506.7384832328.

The spelling of 3420689400 in words is "three billion, four hundred twenty million, six hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 633461 1266922 1900383 2533844 3167305 3800766 5067688 5701149 6334610 7601532 9501915 11402298 12669220 15203064 15836525 17103447 19003830 22804596 25338440 28505745 31673050 34206894 38007660 45609192 47509575 57011490 63346100 68413788 76015320 85517235 95019150 114022980 126692200 136827576 142528725 171034470 190038300 228045960 285057450 342068940 380076600 427586175 570114900 684137880 855172350 1140229800 1710344700 3420689400