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3434622041676 = 2237375691942163
BaseRepresentation
bin110001111110101111011…
…011010011111001001100
3110011100100201022121000210
4301332233123103321030
5422233101220313201
611145502114122420
7503100064441110
oct61765733237114
913140321277023
103434622041676
111104684669461
1247579bb80410
131bbb63c9a127
14bc3452db740
155e5209101d6
hex31faf6d3e4c

3434622041676 has 96 divisors (see below), whose sum is σ = 9423068981760. Its totient is φ = 953119885824.

The previous prime is 3434622041659. The next prime is 3434622041687. The reversal of 3434622041676 is 6761402264343.

It is a super-2 number, since 2×34346220416762 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797371 + ... + 2739533.

It is an arithmetic number, because the mean of its divisors is an integer number (98156968560).

Almost surely, 23434622041676 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 3434622041676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711534490880).

3434622041676 is an abundant number, since it is smaller than the sum of its proper divisors (5988446940084).

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

3434622041676 is a wasteful number, since it uses less digits than its factorization.

3434622041676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942783 (or 1942781 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 3434622041676 in words is "three trillion, four hundred thirty-four billion, six hundred twenty-two million, forty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 569 777 1036 1138 1554 1707 2276 3108 3414 3983 6828 7966 11949 15932 21053 23898 42106 47796 63159 84212 126318 147371 252636 294742 442113 589484 884226 1768452 1942163 3884326 5826489 7768652 11652978 13595141 23305956 27190282 40785423 54380564 71860031 81570846 143720062 163141692 215580093 287440124 431160186 503020217 862320372 1006040434 1105090747 1509060651 2012080868 2210181494 3018121302 3315272241 4420362988 6036242604 6630544482 7735635229 13261088964 15471270458 23206905687 30942540916 40888357639 46413811374 81776715278 92827622748 122665072917 163553430556 245330145834 286218503473 490660291668 572437006946 858655510419 1144874013892 1717311020838 3434622041676