Search a number
-
+
3368949312 = 26379222109
BaseRepresentation
bin1100100011001110…
…0001011001000000
322200210021100122110
43020303201121000
523344422334222
61314144135320
7146325411441
oct31063413100
98623240573
103368949312
111479758533
127a0307540
13418c73841
1423d6072c8
1514ab7230c
hexc8ce1640

3368949312 has 56 divisors (see below), whose sum is σ = 9026550400. Its totient is φ = 1108763136.

The previous prime is 3368949281. The next prime is 3368949317. The reversal of 3368949312 is 2139498633.

It is a happy number.

It is a super-2 number, since 2×33689493122 = 22699638933650546688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3368949317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95887 + ... + 126222.

It is an arithmetic number, because the mean of its divisors is an integer number (161188400).

Almost surely, 23368949312 is an apocalyptic number.

3368949312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3368949312 is an abundant number, since it is smaller than the sum of its proper divisors (5657601088).

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

3368949312 is a wasteful number, since it uses less digits than its factorization.

3368949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222203 (or 222193 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 3368949312 is about 58042.6508009412. The cubic root of 3368949312 is about 1499.1030655571.

The spelling of 3368949312 in words is "three billion, three hundred sixty-eight million, nine hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 222109 444218 666327 888436 1332654 1776872 2665308 3553744 5330616 7107488 10661232 14214976 17546611 21322464 35093222 42644928 52639833 70186444 105279666 140372888 210559332 280745776 421118664 561491552 842237328 1122983104 1684474656 3368949312