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3401420000 = 25541115461
BaseRepresentation
bin1100101010111101…
…1000110011100000
322210001101001001112
43022233120303200
523431230420000
61321304122452
7150201410246
oct31257306340
98701331045
103401420000
111496016210
127ab166428
13422902274
14243a5a796
1514d938235
hexcabd8ce0

3401420000 has 120 divisors (see below), whose sum is σ = 9129321432. Its totient is φ = 1236800000.

The previous prime is 3401419991. The next prime is 3401420023. The reversal of 3401420000 is 241043.

3401420000 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212270 + ... + 227730.

Almost surely, 23401420000 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 3401420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564660716).

3401420000 is an abundant number, since it is smaller than the sum of its proper divisors (5727901432).

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

3401420000 is a wasteful number, since it uses less digits than its factorization.

3401420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15502 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3401420000 is about 58321.6940769042. The cubic root of 3401420000 is about 1503.9039049438.

Adding to 3401420000 its reverse (241043), we get a palindrome (3401661043).

The spelling of 3401420000 in words is "three billion, four hundred one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 15461 20000 22000 27500 30922 44000 55000 61844 77305 110000 123688 154610 170071 220000 247376 309220 340142 386525 494752 618440 680284 773050 850355 1236880 1360568 1546100 1700710 1932625 2473760 2721136 3092200 3401420 3865250 4251775 5442272 6184400 6802840 7730500 8503550 9663125 12368800 13605680 15461000 17007100 19326250 21258875 27211360 30922000 34014200 38652500 42517750 61844000 68028400 77305000 85035500 106294375 136056800 154610000 170071000 212588750 309220000 340142000 425177500 680284000 850355000 1700710000 3401420000