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3834575352 = 2332173132823
BaseRepresentation
bin1110010010001110…
…1111100111111000
3100220020102121111100
43210203233213320
530323122402402
61432300131400
7164011231656
oct34443574770
910806377440
103834575352
111698577243
128b0236b60
13491581aca
142853b1dd6
1517699a71c
hexe48ef9f8

3834575352 has 48 divisors (see below), whose sum is σ = 10996212240. Its totient is φ = 1203003648.

The previous prime is 3834575321. The next prime is 3834575359. The reversal of 3834575352 is 2535754383.

3834575352 is a `hidden beast` number, since 38 + 34 + 57 + 535 + 2 = 666.

It is a super-3 number, since 3×38345753523 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3834575298 and 3834575307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834575359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565188 + ... + 1567635.

It is an arithmetic number, because the mean of its divisors is an integer number (229087755).

Almost surely, 23834575352 is an apocalyptic number.

It is an amenable number.

3834575352 is an abundant number, since it is smaller than the sum of its proper divisors (7161636888).

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

3834575352 is a wasteful number, since it uses less digits than its factorization.

3834575352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132852 (or 3132845 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3834575352 is about 61923.9481299440. The cubic root of 3834575352 is about 1565.2093208094.

The spelling of 3834575352 in words is "three billion, eight hundred thirty-four million, five hundred seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3132823 6265646 9398469 12531292 18796938 25062584 28195407 37593876 53257991 56390814 75187752 106515982 112781628 159773973 213031964 225563256 319547946 426063928 479321919 639095892 958643838 1278191784 1917287676 3834575352