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34040133342 = 23212733144987
BaseRepresentation
bin11111101100111100…
…110011011011011110
310020212022111221102100
4133230330303123132
51024203233231332
623345434105530
72313355234155
oct375474633336
9106768457370
1034040133342
111348884a006
12671bb7b2a6
1332963c8c47
14190cc4859c
15d4367a67c
hex7ecf336de

34040133342 has 48 divisors (see below), whose sum is σ = 74560591872. Its totient is φ = 11223107280.

The previous prime is 34040133319. The next prime is 34040133343. The reversal of 34040133342 is 24333104043.

It is a super-2 number, since 2×340401333422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040133343) 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, 734173 + ... + 779159.

It is an arithmetic number, because the mean of its divisors is an integer number (1553345664).

Almost surely, 234040133342 is an apocalyptic number.

34040133342 is an abundant number, since it is smaller than the sum of its proper divisors (40520458530).

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

34040133342 is a wasteful number, since it uses less digits than its factorization.

34040133342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45453 (or 45450 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34040133342 its reverse (24333104043), we get a palindrome (58373237385).

It can be divided in two parts, 3404013 and 3342, that added together give a triangular number (3407355 = T2610).

The spelling of 34040133342 in words is "thirty-four billion, forty million, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 127 254 331 381 662 762 993 1143 1986 2286 2979 5958 42037 44987 84074 89974 126111 134961 252222 269922 378333 404883 756666 809766 5713349 11426698 14890697 17140047 29781394 34280094 44672091 51420141 89344182 102840282 134016273 268032546 1891118519 3782237038 5673355557 11346711114 17020066671 34040133342