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3326504064 = 2731333943
BaseRepresentation
bin1100011001000110…
…0110110010000000
322120211101220201020
43012101212302000
523303041112224
61310030305440
7145301550402
oct30621466200
98524356636
103326504064
1114577a7814
1278a058280
13410232000
14237b18b72
1514708ac79
hexc6466c80

3326504064 has 128 divisors (see below), whose sum is σ = 9574454400. Its totient is φ = 1023280128.

The previous prime is 3326504047. The next prime is 3326504107. The reversal of 3326504064 is 4604056233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33265040642 = 22131258575617032192, which contains 22 as substring.

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, 841677 + ... + 845619.

It is an arithmetic number, because the mean of its divisors is an integer number (74800425).

Almost surely, 23326504064 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 3326504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787227200).

3326504064 is an abundant number, since it is smaller than the sum of its proper divisors (6247950336).

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

3326504064 is an equidigital number, since it uses as much as digits as its factorization.

3326504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3326504064 is about 57675.8533877046. The cubic root of 3326504064 is about 1492.7807273652.

The spelling of 3326504064 in words is "three billion, three hundred twenty-six million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2197 2496 2704 3943 4056 4394 4992 5408 6591 7886 8112 8788 10816 11829 13182 15772 16224 17576 21632 23658 26364 31544 32448 35152 47316 51259 52728 63088 64896 70304 94632 102518 105456 126176 140608 153777 189264 205036 210912 252352 281216 307554 378528 410072 421824 504704 615108 666367 757056 820144 843648 1230216 1332734 1514112 1640288 1999101 2460432 2665468 3280576 3998202 4920864 5330936 6561152 7996404 8662771 9841728 10661872 15992808 17325542 19683456 21323744 25988313 31985616 34651084 42647488 51976626 63971232 69302168 85294976 103953252 127942464 138604336 207906504 255884928 277208672 415813008 554417344 831626016 1108834688 1663252032 3326504064