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3423020400 = 243252950839
BaseRepresentation
bin1100110000000111…
…0010010101110000
322211120000110020100
43030001302111300
524002243123100
61323355112400
7150553123212
oct31401622560
98746013210
103423020400
1114a7229988
127b6442700
13427225c77
142468805b2
151507a3400
hexcc072570

3423020400 has 90 divisors (see below), whose sum is σ = 11878844120. Its totient is φ = 912804480.

The previous prime is 3423020399. The next prime is 3423020417. The reversal of 3423020400 is 40203243.

3423020400 is a `hidden beast` number, since 34 + 230 + 2 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 471820 + ... + 479019.

Almost surely, 23423020400 is an apocalyptic number.

3423020400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423020400 is an abundant number, since it is smaller than the sum of its proper divisors (8455823720).

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

3423020400 is a wasteful number, since it uses less digits than its factorization.

3423020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950863 (or 950849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3423020400 is about 58506.5842448523. The cubic root of 3423020400 is about 1507.0806569399.

Adding to 3423020400 its reverse (40203243), we get a palindrome (3463223643).

The spelling of 3423020400 in words is "three billion, four hundred twenty-three million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 950839 1901678 2852517 3803356 4754195 5705034 7606712 8557551 9508390 11410068 14262585 15213424 17115102 19016780 22820136 23770975 28525170 34230204 38033560 42787755 45640272 47541950 57050340 68460408 71312925 76067120 85575510 95083900 114100680 136920816 142625850 171151020 190167800 213938775 228201360 285251700 342302040 380335600 427877550 570503400 684604080 855755100 1141006800 1711510200 3423020400