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3495304064 = 27723117977
BaseRepresentation
bin1101000001010110…
…0001101110000000
3100000121000211210002
43100111201232000
524124244212224
61334500255132
7152421410600
oct32025415600
910017024702
103495304064
11153400a74a
128166a14a8
134391b4075
142522d8c00
15156cd09ae
hexd0561b80

3495304064 has 96 divisors (see below), whose sum is σ = 8361927360. Its totient is φ = 1449584640.

The previous prime is 3495304027. The next prime is 3495304093. The reversal of 3495304064 is 4604035943.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185444 + ... + 203420.

It is an arithmetic number, because the mean of its divisors is an integer number (87103410).

Almost surely, 23495304064 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 3495304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180963680).

3495304064 is an abundant number, since it is smaller than the sum of its proper divisors (4866623296).

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

3495304064 is a wasteful number, since it uses less digits than its factorization.

3495304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036 (or 18017 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 3495304064 is about 59121.0966068797. The cubic root of 3495304064 is about 1517.6151521478.

The spelling of 3495304064 in words is "three billion, four hundred ninety-five million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 868 896 992 1519 1568 1736 1984 3038 3136 3472 3968 6076 6272 6944 12152 13888 17977 24304 27776 35954 48608 71908 97216 125839 143816 194432 251678 287632 503356 557287 575264 880873 1006712 1114574 1150528 1761746 2013424 2229148 2301056 3523492 3901009 4026848 4458296 7046984 7802018 8053696 8916592 14093968 15604036 16107392 17833184 27307063 28187936 31208072 35666368 54614126 56375872 62416144 71332736 109228252 112751744 124832288 218456504 249664576 436913008 499329152 873826016 1747652032 3495304064