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34073877744 = 243378874717
BaseRepresentation
bin11111101110111101…
…100001110011110000
310020221200000100001000
4133232331201303300
51024240403041434
623353041242000
72314245116304
oct375675416360
9106850010030
1034073877744
11134a58a7745
12672b333300
1332a03b234a
14191350dd04
15d465e3b99
hex7eef61cf0

34073877744 has 40 divisors (see below), whose sum is σ = 97804650320. Its totient is φ = 11357959104.

The previous prime is 34073877743. The next prime is 34073877769. The reversal of 34073877744 is 44777837043.

It is a happy number.

It is a super-2 number, since 2×340738777442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073877743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39436927 + ... + 39437790.

It is an arithmetic number, because the mean of its divisors is an integer number (2445116258).

Almost surely, 234073877744 is an apocalyptic number.

It is an amenable number.

34073877744 is an abundant number, since it is smaller than the sum of its proper divisors (63730772576).

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

34073877744 is a wasteful number, since it uses less digits than its factorization.

34073877744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78874734 (or 78874722 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 34073877744 in words is "thirty-four billion, seventy-three million, eight hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78874717 157749434 236624151 315498868 473248302 630997736 709872453 946496604 1261995472 1419744906 1892993208 2129617359 2839489812 3785986416 4259234718 5678979624 8518469436 11357959248 17036938872 34073877744