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3342358992 = 243723145841
BaseRepresentation
bin1100011100111000…
…0101100111010000
322121221020102120210
43013032011213100
523321120441432
61311354204120
7145553403600
oct30716054720
98557212523
103342358992
111465746865
12793423640
134135c381b
14239c84c00
1514866d8cc
hexc73859d0

3342358992 has 120 divisors (see below), whose sum is σ = 10368360192. Its totient is φ = 924134400.

The previous prime is 3342358969. The next prime is 3342358993. The reversal of 3342358992 is 2998532433.

It is a happy number.

It is a super-2 number, since 2×33423589922 = 22342727262806512128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342358993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49992 + ... + 95832.

Almost surely, 23342358992 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 3342358992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184180096).

3342358992 is an abundant number, since it is smaller than the sum of its proper divisors (7026001200).

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

3342358992 is a wasteful number, since it uses less digits than its factorization.

3342358992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45897 (or 45884 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 3342358992 is about 57813.1385759327. The cubic root of 3342358992 is about 1495.1486214443.

The spelling of 3342358992 in words is "three billion, three hundred forty-two million, three hundred fifty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 45841 72912 91682 137523 183364 275046 320887 366728 550092 641774 733456 962661 1100184 1283548 1421071 1925322 2200368 2246209 2567096 2842142 3850644 4263213 4492418 5134192 5684284 6738627 7701288 8526426 8984836 9947497 11368568 13477254 15402576 17052852 17969672 19894994 22737136 26954508 29842491 34105704 35939344 39789988 53909016 59684982 68211408 69632479 79579976 107818032 119369964 139264958 159159952 208897437 238739928 278529916 417794874 477479856 557059832 835589748 1114119664 1671179496 3342358992