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3401443100 = 22521121092579
BaseRepresentation
bin1100101010111101…
…1110011100011100
322210001102012202002
43022233132130130
523431232134400
61321304421432
7150201534506
oct31257363434
98701365662
103401443100
111496031600
127ab177878
1342290c933
14243a64d76
1514d93eed5
hexcabde71c

3401443100 has 108 divisors (see below), whose sum is σ = 8190751800. Its totient is φ = 1225065600.

The previous prime is 3401443093. The next prime is 3401443117. The reversal of 3401443100 is 13441043.

It is a happy number.

It is a super-2 number, since 2×34014431002 = 23139630325075220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 1317611 + ... + 1320189.

Almost surely, 23401443100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095375900).

3401443100 is an abundant number, since it is smaller than the sum of its proper divisors (4789308700).

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

3401443100 is a wasteful number, since it uses less digits than its factorization.

3401443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3401443100 is about 58321.8921160828. The cubic root of 3401443100 is about 1503.9073094142.

Adding to 3401443100 its reverse (13441043), we get a palindrome (3414884143).

The spelling of 3401443100 in words is "three billion, four hundred one million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 121 218 220 242 275 436 484 545 550 605 1090 1100 1199 1210 2180 2398 2420 2579 2725 3025 4796 5158 5450 5995 6050 10316 10900 11990 12100 12895 13189 23980 25790 26378 28369 29975 51580 52756 56738 59950 64475 65945 113476 119900 128950 131890 141845 257900 263780 281111 283690 312059 329725 562222 567380 624118 659450 709225 1124444 1248236 1318900 1405555 1418450 1560295 2811110 2836900 3092221 3120590 5622220 6184442 6241180 7027775 7801475 12368884 14055550 15461105 15602950 28111100 30922210 31205900 34014431 61844420 68028862 77305525 136057724 154611050 170072155 309222100 340144310 680288620 850360775 1700721550 3401443100