Search a number
-
+
3148841616 = 2433110132089
BaseRepresentation
bin1011101110101111…
…1000001010010000
322010110002201122120
42323223320022100
522422100412431
61240242334240
7141013466154
oct27353701220
98113081576
103148841616
111376491348
1273a65a380
133b24990bb
1421c2ad064
15136695196
hexbbaf8290

3148841616 has 80 divisors (see below), whose sum is σ = 8409223680. Its totient is φ = 1014266880.

The previous prime is 3148841603. The next prime is 3148841617. The reversal of 3148841616 is 6161488413.

3148841616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31488416163 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3148841617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506300 + ... + 1508388.

It is an arithmetic number, because the mean of its divisors is an integer number (105115296).

Almost surely, 23148841616 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 3148841616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204611840).

3148841616 is an abundant number, since it is smaller than the sum of its proper divisors (5260382064).

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

3148841616 is a wasteful number, since it uses less digits than its factorization.

3148841616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3138 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3148841616 is about 56114.5401478084. The cubic root of 3148841616 is about 1465.7174967020.

The spelling of 3148841616 in words is "three billion, one hundred forty-eight million, eight hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1013 1488 2026 2089 3039 4052 4178 6078 6267 8104 8356 12156 12534 16208 16712 24312 25068 31403 33424 48624 50136 62806 64759 94209 100272 125612 129518 188418 194277 251224 259036 376836 388554 502448 518072 753672 777108 1036144 1507344 1554216 2116157 3108432 4232314 6348471 8464628 12696942 16929256 25393884 33858512 50787768 65600867 101575536 131201734 196802601 262403468 393605202 524806936 787210404 1049613872 1574420808 3148841616