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34325035040 = 2551079972011
BaseRepresentation
bin11111111101111011…
…100111100000100000
310021121011121110002002
4133331323213200200
51030244202110130
623434012343132
72323414661312
oct377573474040
9107534543062
1034325035040
111361465095a
12679b474aa8
13331043b72a
141938a0b7b2
15d5d6a5b45
hex7fdee7820

34325035040 has 96 divisors (see below), whose sum is σ = 81973612224. Its totient is φ = 13581296640.

The previous prime is 34325035009. The next prime is 34325035079. The reversal of 34325035040 is 4053052343.

It is a junction number, because it is equal to n+sod(n) for n = 34325034994 and 34325035012.

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, 17067635 + ... + 17069645.

It is an arithmetic number, because the mean of its divisors is an integer number (853891794).

Almost surely, 234325035040 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 34325035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40986806112).

34325035040 is an abundant number, since it is smaller than the sum of its proper divisors (47648577184).

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

34325035040 is a wasteful number, since it uses less digits than its factorization.

34325035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 34325035040 its reverse (4053052343), we get a palindrome (38378087383).

The spelling of 34325035040 in words is "thirty-four billion, three hundred twenty-five million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 997 1070 1712 1994 2011 2140 3424 3988 4022 4280 4985 7976 8044 8560 9970 10055 15952 16088 17120 19940 20110 31904 32176 39880 40220 64352 79760 80440 106679 159520 160880 213358 215177 321760 426716 430354 533395 853432 860708 1066790 1075885 1706864 1721416 2004967 2133580 2151770 3413728 3442832 4009934 4267160 4303540 6885664 8019868 8534320 8607080 10024835 16039736 17068640 17214160 20049670 32079472 34428320 40099340 64158944 80198680 160397360 214531469 320794720 429062938 858125876 1072657345 1716251752 2145314690 3432503504 4290629380 6865007008 8581258760 17162517520 34325035040