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3401411040 = 253252362091
BaseRepresentation
bin1100101010111101…
…0110100111100000
322210001100120202200
43022233112213200
523431230123130
61321304013200
7150201342156
oct31257264740
98701316680
103401411040
11149600a505
127ab161200
134228cb171
14243a573d6
1514d935760
hexcabd69e0

3401411040 has 72 divisors (see below), whose sum is σ = 11607320088. Its totient is φ = 907042560.

The previous prime is 3401411023. The next prime is 3401411053. The reversal of 3401411040 is 401141043.

It is a tau number, because it is divible by the number of its divisors (72).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179606 + ... + 1182485.

It is an arithmetic number, because the mean of its divisors is an integer number (161212779).

Almost surely, 23401411040 is an apocalyptic number.

3401411040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401411040 is an abundant number, since it is smaller than the sum of its proper divisors (8205909048).

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

3401411040 is a wasteful number, since it uses less digits than its factorization.

3401411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362112 (or 2362101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3401411040 is about 58321.6172615266. The cubic root of 3401411040 is about 1503.9025844178.

Adding to 3401411040 its reverse (401141043), we get a palindrome (3802552083).

It can be divided in two parts, 34014 and 11040, that added together give a palindrome (45054).

The spelling of 3401411040 in words is "three billion, four hundred one million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2362091 4724182 7086273 9448364 11810455 14172546 18896728 21258819 23620910 28345092 35431365 37793456 42517638 47241820 56690184 70862730 75586912 85035276 94483640 106294095 113380368 141725460 170070552 188967280 212588190 226760736 283450920 340141104 377934560 425176380 566901840 680282208 850352760 1133803680 1700705520 3401411040