Search a number
-
+
308335392 = 25321771887
BaseRepresentation
bin10010011000001…
…101001100100000
3210111012001122100
4102120031030200
51112413213032
650332410400
710432544001
oct2230151440
9714161570
10308335392
11149057a42
1287316a00
134bb58aa1
142cd431a8
151c10897c
hex1260d320

308335392 has 144 divisors (see below), whose sum is σ = 942544512. Its totient is φ = 95262720.

The previous prime is 308335381. The next prime is 308335411. The reversal of 308335392 is 293533803.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 347173 + ... + 348059.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2308335392 is an apocalyptic number.

308335392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308335392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471272256).

308335392 is an abundant number, since it is smaller than the sum of its proper divisors (634209120).

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

308335392 is a wasteful number, since it uses less digits than its factorization.

308335392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 308335392 is about 17559.4815413212. The cubic root of 308335392 is about 675.5763834055.

The spelling of 308335392 in words is "three hundred eight million, three hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 71 72 96 102 136 142 144 153 204 213 272 284 288 306 408 426 544 568 612 639 816 852 887 1136 1207 1224 1278 1632 1704 1774 2272 2414 2448 2556 2661 3408 3548 3621 4828 4896 5112 5322 6816 7096 7242 7983 9656 10224 10644 10863 14192 14484 15079 15966 19312 20448 21288 21726 28384 28968 30158 31932 38624 42576 43452 45237 57936 60316 62977 63864 85152 86904 90474 115872 120632 125954 127728 135711 173808 180948 188931 241264 251908 255456 271422 347616 361896 377862 482528 503816 542844 566793 723792 755724 1007632 1070609 1085688 1133586 1447584 1511448 2015264 2141218 2171376 2267172 3022896 3211827 4282436 4342752 4534344 6045792 6423654 8564872 9068688 9635481 12847308 17129744 18137376 19270962 25694616 34259488 38541924 51389232 77083848 102778464 154167696 308335392