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3315230304 = 25323297673
BaseRepresentation
bin1100010110011010…
…0110011001100000
322120001012011000120
43011212212121200
523242144332204
61304544520240
7145103664321
oct30546463140
98501164016
103315230304
1114513a7661
12786320080
1340aab5749
14236422448
151460b06d9
hexc59a6660

3315230304 has 144 divisors (see below), whose sum is σ = 9204742512. Its totient is φ = 1044578304.

The previous prime is 3315230263. The next prime is 3315230407. The reversal of 3315230304 is 4030325133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4925712 + ... + 4926384.

It is an arithmetic number, because the mean of its divisors is an integer number (63921823).

Almost surely, 23315230304 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 3315230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602371256).

3315230304 is an abundant number, since it is smaller than the sum of its proper divisors (5889512208).

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

3315230304 is a wasteful number, since it uses less digits than its factorization.

3315230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3315230304 is about 57578.0366459295. The cubic root of 3315230304 is about 1491.0924384938.

Adding to 3315230304 its reverse (4030325133), we get a palindrome (7345555437).

The spelling of 3315230304 in words is "three billion, three hundred fifteen million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 529 552 582 673 736 776 1058 1104 1164 1346 1552 1587 2019 2116 2208 2231 2328 2692 3104 3174 4038 4232 4462 4656 5384 6348 6693 8076 8464 8924 9312 10768 12696 13386 15479 16152 16928 17848 21536 25392 26772 30958 32304 35696 46437 50784 51313 53544 61916 64608 65281 71392 92874 102626 107088 123832 130562 153939 185748 195843 205252 214176 247664 261124 307878 356017 371496 391686 410504 495328 522248 615756 712034 742992 783372 821008 1044496 1068051 1231512 1424068 1485984 1501463 1566744 1642016 2088992 2136102 2463024 2848136 3002926 3133488 4272204 4504389 4926048 5696272 6005852 6266976 8544408 9008778 11392544 12011704 17088816 18017556 24023408 34177632 34533649 36035112 48046816 69067298 72070224 103600947 138134596 144140448 207201894 276269192 414403788 552538384 828807576 1105076768 1657615152 3315230304