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3396228048 = 2433291731567
BaseRepresentation
bin1100101001101110…
…0101001111010000
322202200121021001000
43022123211033100
523423413244143
61321000542000
7150106314333
oct31233451720
98680537030
103396228048
11149309a444
127a9481900
13421804cc5
142430a861a
1514d25ebd3
hexca6e53d0

3396228048 has 160 divisors (see below), whose sum is σ = 10149350400. Its totient is φ = 1086027264.

The previous prime is 3396228041. The next prime is 3396228049. The reversal of 3396228048 is 8408226933.

3396228048 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 junction number, because it is equal to n+sod(n) for n = 3396227994 and 3396228012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396228041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166561 + ... + 2168127.

It is an arithmetic number, because the mean of its divisors is an integer number (63433440).

Almost surely, 23396228048 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 3396228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074675200).

3396228048 is an abundant number, since it is smaller than the sum of its proper divisors (6753122352).

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

3396228048 is a wasteful number, since it uses less digits than its factorization.

3396228048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3396228048 is about 58277.1657512614. The cubic root of 3396228048 is about 1503.1383253634.

The spelling of 3396228048 in words is "three billion, three hundred ninety-six million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 173 174 216 232 261 346 348 432 464 519 522 692 696 783 1038 1044 1384 1392 1557 1566 1567 2076 2088 2768 3114 3132 3134 4152 4176 4671 4701 5017 6228 6264 6268 8304 9342 9402 10034 12456 12528 12536 14103 15051 18684 18804 20068 24912 25072 28206 30102 37368 37608 40136 42309 45153 45443 56412 60204 74736 75216 80272 84618 90306 90886 112824 120408 135459 136329 169236 180612 181772 225648 240816 270918 271091 272658 338472 361224 363544 408987 541836 542182 545316 676944 722448 727088 813273 817974 1083672 1084364 1090632 1226961 1626546 1635948 2167344 2168728 2181264 2439819 2453922 3253092 3271896 4337456 4879638 4907844 6506184 6543792 7319457 7861639 9759276 9815688 13012368 14638914 15723278 19518552 19631376 23584917 29277828 31446556 39037104 47169834 58555656 62893112 70754751 94339668 117111312 125786224 141509502 188679336 212264253 283019004 377358672 424528506 566038008 849057012 1132076016 1698114024 3396228048