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2964508134 = 237223617187
BaseRepresentation
bin1011000010110010…
…1100110111100110
321122121020121122120
42300230230313212
522032403230014
61210055410410
7133314621600
oct26054546746
97577217576
102964508134
111291429925
126a8983a06
13383238933
14201a08170
151253d2ba9
hexb0b2cde6

2964508134 has 96 divisors (see below), whose sum is σ = 7315888896. Its totient is φ = 796783680.

The previous prime is 2964508133. The next prime is 2964508189. The reversal of 2964508134 is 4318054692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964508133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 408889 + ... + 416075.

It is an arithmetic number, because the mean of its divisors is an integer number (76207176).

Almost surely, 22964508134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964508134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657944448).

2964508134 is an abundant number, since it is smaller than the sum of its proper divisors (4351380762).

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

2964508134 is a wasteful number, since it uses less digits than its factorization.

2964508134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2964508134 is about 54447.2968475020. The cubic root of 2964508134 is about 1436.5394227224.

The spelling of 2964508134 in words is "two billion, nine hundred sixty-four million, five hundred eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 61 69 98 122 138 147 161 183 294 322 366 427 483 854 966 1127 1281 1403 2254 2562 2806 2989 3381 4209 5978 6762 7187 8418 8967 9821 14374 17934 19642 21561 29463 43122 50309 58926 68747 100618 137494 150927 165301 206241 301854 330602 352163 412482 438407 495903 704326 876814 991806 1056489 1157107 1315221 2112978 2314214 2630442 3068849 3471321 6137698 6942642 8099749 9206547 10083361 16199498 18413094 20166722 21481943 24299247 30250083 42963886 48598494 60500166 64445829 70583527 128891658 141167054 211750581 423501162 494084689 988169378 1482254067 2964508134