Search a number
-
+
34093126928 = 2473173134513
BaseRepresentation
bin11111110000000110…
…111101010100010000
310021000000020021221202
4133300012331110100
51024310320030203
623355010010332
72314600540340
oct376006752420
9107000207852
1034093126928
1113505754963
1267358769a8
1332a4391ab3
141915cc0d20
15d48147388
hex7f01bd510

34093126928 has 80 divisors (see below), whose sum is σ = 78995229696. Its totient is φ = 13946204160.

The previous prime is 34093126853. The next prime is 34093126933. The reversal of 34093126928 is 82962139043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186200 + ... + 320712.

Almost surely, 234093126928 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 34093126928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497614848).

34093126928 is an abundant number, since it is smaller than the sum of its proper divisors (44902102768).

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

34093126928 is a wasteful number, since it uses less digits than its factorization.

34093126928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134632 (or 134626 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 34093126928 in words is "thirty-four billion, ninety-three million, one hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 73 112 124 146 217 248 292 434 496 511 584 868 1022 1168 1736 2044 2263 3472 4088 4526 8176 9052 15841 18104 31682 36208 63364 126728 134513 253456 269026 538052 941591 1076104 1883182 2152208 3766364 4169903 7532728 8339806 9819449 15065456 16679612 19638898 29189321 33359224 39277796 58378642 66718448 68736143 78555592 116757284 137472286 157111184 233514568 274944572 304402919 467029136 549889144 608805838 1099778288 1217611676 2130820433 2435223352 4261640866 4870446704 8523281732 17046563464 34093126928