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3401421040 = 245195474091
BaseRepresentation
bin1100101010111101…
…1001000011110000
322210001101002111001
43022233121003300
523431230433130
61321304131344
7150201413263
oct31257310360
98701332431
103401421040
111496016a76
127ab166b54
13422902894
14243a5acda
1514d9386ca
hexcabd90f0

3401421040 has 80 divisors (see below), whose sum is σ = 8341787520. Its totient is φ = 1286288640.

The previous prime is 3401421019. The next prime is 3401421041. The reversal of 3401421040 is 401241043.

3401421040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×34014210404 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 3401420999 and 3401421017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401421041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829395 + ... + 833485.

It is an arithmetic number, because the mean of its divisors is an integer number (104272344).

Almost surely, 23401421040 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 3401421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170893760).

3401421040 is an abundant number, since it is smaller than the sum of its proper divisors (4940366480).

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

3401421040 is a wasteful number, since it uses less digits than its factorization.

3401421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3401421040 is about 58321.7029929682. The cubic root of 3401421040 is about 1503.9040582190.

Adding to 3401421040 its reverse (401241043), we get a palindrome (3802662083).

The spelling of 3401421040 in words is "three billion, four hundred one million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 547 760 1094 1520 2188 2735 4091 4376 5470 8182 8752 10393 10940 16364 20455 20786 21880 32728 40910 41572 43760 51965 65456 77729 81820 83144 103930 155458 163640 166288 207860 310916 327280 388645 415720 621832 777290 831440 1243664 1554580 2237777 3109160 4475554 6218320 8951108 11188885 17902216 22377770 35804432 42517763 44755540 85035526 89511080 170071052 179022160 212588815 340142104 425177630 680284208 850355260 1700710520 3401421040