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3402337664 = 27113765309
BaseRepresentation
bin1100101011001011…
…1000110110000000
322210010002122212002
43022302320312000
523431444301124
61321335523132
7150212251535
oct31262706600
98703078762
103402337664
111496592710
127ab5294a8
13422b63b6b
14243c18d8c
1514da6a0ae
hexcacb8d80

3402337664 has 64 divisors (see below), whose sum is σ = 7594246800. Its totient is φ = 1504696320.

The previous prime is 3402337651. The next prime is 3402337691. The reversal of 3402337664 is 4667332043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19442 + ... + 84750.

Almost surely, 23402337664 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 3402337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797123400).

3402337664 is an abundant number, since it is smaller than the sum of its proper divisors (4191909136).

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

3402337664 is a wasteful number, since it uses less digits than its factorization.

3402337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65371 (or 65359 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 38.

The square root of 3402337664 is about 58329.5608075357. The cubic root of 3402337664 is about 1504.0391381093.

The spelling of 3402337664 in words is "three billion, four hundred two million, three hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 26048 52096 65309 130618 261236 522472 718399 1044944 1436798 2089888 2416433 2873596 4179776 4832866 5747192 8359552 9665732 11494384 19331464 22988768 26580763 38662928 45977536 53161526 77325856 91955072 106323052 154651712 212646104 309303424 425292208 850584416 1701168832 3402337664