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3422410040 = 235742129033
BaseRepresentation
bin1100101111111101…
…1101010100111000
322211111212102222102
43023333131110320
524002114110130
61323334042532
7150545001560
oct31377352470
98744772872
103422410040
1114a6952355
127b61a9448
134270711ca
14246761da0
151506d2645
hexcbfdd538

3422410040 has 64 divisors (see below), whose sum is σ = 8821690560. Its totient is φ = 1170570240.

The previous prime is 3422410039. The next prime is 3422410133. The reversal of 3422410040 is 400142243.

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

It is a junction number, because it is equal to n+sod(n) for n = 3422409994 and 3422410021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103364 + ... + 132396.

It is an arithmetic number, because the mean of its divisors is an integer number (137838915).

Almost surely, 23422410040 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 3422410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410845280).

3422410040 is an abundant number, since it is smaller than the sum of its proper divisors (5399280520).

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

3422410040 is a wasteful number, since it uses less digits than its factorization.

3422410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472 (or 29468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3422410040 is about 58501.3678472564. The cubic root of 3422410040 is about 1506.9910755837.

Adding to 3422410040 its reverse (400142243), we get a palindrome (3822552283).

The spelling of 3422410040 in words is "three billion, four hundred twenty-two million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 421 842 1684 2105 2947 3368 4210 5894 8420 11788 14735 16840 23576 29033 29470 58066 58940 116132 117880 145165 203231 232264 290330 406462 580660 812924 1016155 1161320 1625848 2032310 4064620 8129240 12222893 24445786 48891572 61114465 85560251 97783144 122228930 171120502 244457860 342241004 427801255 488915720 684482008 855602510 1711205020 3422410040