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3423422040 = 233537839919
BaseRepresentation
bin1100110000001101…
…0100011001011000
322211120202212011220
43030003110121120
524002344001130
61323411452040
7150556415163
oct31403243130
98746685156
103423422040
1114a7483715
127b65b7020
13427336a1c
14246946ada
15150832410
hexcc0d4658

3423422040 has 128 divisors (see below), whose sum is σ = 10571904000. Its totient is φ = 886215168.

The previous prime is 3423422029. The next prime is 3423422047. The reversal of 3423422040 is 402243243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3423422040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423422047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3724701 + ... + 3725619.

It is an arithmetic number, because the mean of its divisors is an integer number (82593000).

Almost surely, 23423422040 is an apocalyptic number.

3423422040 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 3423422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285952000).

3423422040 is an abundant number, since it is smaller than the sum of its proper divisors (7148481960).

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

3423422040 is a wasteful number, since it uses less digits than its factorization.

3423422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3423422040 is about 58510.0165783603. The cubic root of 3423422040 is about 1507.1395990564.

Adding to 3423422040 its reverse (402243243), we get a palindrome (3825665283).

The spelling of 3423422040 in words is "three billion, four hundred twenty-three million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 839 888 919 1110 1480 1678 1838 2220 2517 2757 3356 3676 4195 4440 4595 5034 5514 6712 7352 8390 9190 10068 11028 12585 13785 16780 18380 20136 22056 25170 27570 31043 33560 34003 36760 50340 55140 62086 68006 93129 100680 102009 110280 124172 136012 155215 170015 186258 204018 248344 272024 310430 340030 372516 408036 465645 510045 620860 680060 745032 771041 816072 931290 1020090 1241720 1360120 1542082 1862580 2040180 2313123 3084164 3725160 3855205 4080360 4626246 6168328 7710410 9252492 11565615 15420820 18504984 23131230 28528517 30841640 46262460 57057034 85585551 92524920 114114068 142642585 171171102 228228136 285285170 342342204 427927755 570570340 684684408 855855510 1141140680 1711711020 3423422040