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3317404128 = 253191239757
BaseRepresentation
bin1100010110111011…
…1001000111100000
322120012021120221120
43011232321013200
523243223413003
61305103252240
7145131320103
oct30556710740
98505246846
103317404128
111452651905
12786baa080
1340b39702c
1423682a73a
1514638e853
hexc5bb91e0

3317404128 has 96 divisors (see below), whose sum is σ = 8802017280. Its totient is φ = 1093962240.

The previous prime is 3317404117. The next prime is 3317404133. The reversal of 3317404128 is 8214047133.

3317404128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33174041282 = 22010340296942880768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4381926 + ... + 4382682.

It is an arithmetic number, because the mean of its divisors is an integer number (91687680).

Almost surely, 23317404128 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 3317404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401008640).

3317404128 is an abundant number, since it is smaller than the sum of its proper divisors (5484613152).

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

3317404128 is a wasteful number, since it uses less digits than its factorization.

3317404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3317404128 is about 57596.9107504908. The cubic root of 3317404128 is about 1491.4182745117.

The spelling of 3317404128 in words is "three billion, three hundred seventeen million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 239 382 478 573 717 757 764 956 1146 1434 1514 1528 1912 2271 2292 2868 3028 3056 3824 4542 4584 5736 6056 6112 7648 9084 9168 11472 12112 18168 18336 22944 24224 36336 45649 72672 91298 136947 144587 180923 182596 273894 289174 361846 365192 433761 542769 547788 578348 723692 730384 867522 1085538 1095576 1156696 1447384 1460768 1735044 2171076 2191152 2313392 2894768 3470088 4342152 4382304 4626784 5789536 6940176 8684304 13880352 17368608 34556293 69112586 103668879 138225172 207337758 276450344 414675516 552900688 829351032 1105801376 1658702064 3317404128