Search a number
-
+
3033342972 = 2233113078317
BaseRepresentation
bin1011010011001101…
…0010001111111100
321211101202210022000
42310303102033330
522203013433342
61220555022300
7135111663342
oct26463221774
97741683260
103033342972
111317274520
12707a3a990
13394589cca
1420ac05992
1512b47d44c
hexb4cd23fc

3033342972 has 96 divisors (see below), whose sum is σ = 8608131840. Its totient is φ = 916090560.

The previous prime is 3033342943. The next prime is 3033342973. The reversal of 3033342972 is 2792433303.

It is a happy number.

3033342972 is a `hidden beast` number, since 30 + 3 + 334 + 297 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033342973) 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, 360558 + ... + 368874.

It is an arithmetic number, because the mean of its divisors is an integer number (89668040).

Almost surely, 23033342972 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 3033342972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304065920).

3033342972 is an abundant number, since it is smaller than the sum of its proper divisors (5574788868).

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

3033342972 is a wasteful number, since it uses less digits than its factorization.

3033342972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8640 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3033342972 is about 55075.7929765882. The cubic root of 3033342972 is about 1447.5731059214.

The spelling of 3033342972 in words is "three billion, thirty-three million, three hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 307 396 594 614 921 1188 1228 1842 2763 3377 3684 5526 6754 8289 8317 10131 11052 13508 16578 16634 20262 24951 30393 33156 33268 40524 49902 60786 74853 91179 91487 99804 121572 149706 182358 182974 224559 274461 299412 364716 365948 449118 548922 823383 898236 1097844 1646766 2470149 2553319 3293532 4940298 5106638 7659957 9880596 10213276 15319914 22979871 28086509 30639828 45959742 56173018 68939613 84259527 91919484 112346036 137879226 168519054 252778581 275758452 337038108 505557162 758335743 1011114324 1516671486 3033342972