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3401421400 = 2352139713487
BaseRepresentation
bin1100101010111101…
…1001001001011000
322210001101002222101
43022233121021120
523431230441100
61321304133144
7150201414316
oct31257311130
98701332871
103401421400
111496017273
127ab1671b4
13422902ab0
14243a5b0b6
1514d93886a
hexcabd9258

3401421400 has 96 divisors (see below), whose sum is σ = 8605074240. Its totient is φ = 1242869760.

The previous prime is 3401421391. The next prime is 3401421407. The reversal of 3401421400 is 41241043.

3401421400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401421407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245457 + ... + 258943.

It is an arithmetic number, because the mean of its divisors is an integer number (89636190).

Almost surely, 23401421400 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 3401421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302537120).

3401421400 is an abundant number, since it is smaller than the sum of its proper divisors (5203652840).

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

3401421400 is a wasteful number, since it uses less digits than its factorization.

3401421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13604 counting only the distinct ones).

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

The square root of 3401421400 is about 58321.7060792978. The cubic root of 3401421400 is about 1503.9041112758.

Adding to 3401421400 its reverse (41241043), we get a palindrome (3442662443).

The spelling of 3401421400 in words is "three billion, four hundred one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 130 194 200 260 325 388 485 520 650 776 970 1261 1300 1940 2425 2522 2600 3880 4850 5044 6305 9700 10088 12610 13487 19400 25220 26974 31525 50440 53948 63050 67435 107896 126100 134870 175331 252200 269740 337175 350662 539480 674350 701324 876655 1308239 1348700 1402648 1753310 2616478 2697400 3506620 4383275 5232956 6541195 7013240 8766550 10465912 13082390 17007107 17533100 26164780 32705975 34014214 35066200 52329560 65411950 68028428 85035535 130823900 136056856 170071070 261647800 340142140 425177675 680284280 850355350 1700710700 3401421400