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34102233444 = 223171371220203
BaseRepresentation
bin11111110000101001…
…101100100101100100
310021000122100221202010
4133300221230211210
51024320132432234
623355533114220
72315041126056
oct376051544544
9107018327663
1034102233444
111350a904804
126738928970
1332a622ca76
1419171b18d6
15d48d456e9
hex7f0a6c964

34102233444 has 48 divisors (see below), whose sum is σ = 84867628608. Its totient is φ = 10620638208.

The previous prime is 34102233433. The next prime is 34102233491. The reversal of 34102233444 is 44433220143.

It is a happy number.

It is a super-2 number, since 2×341022334442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582154 + ... + 638049.

It is an arithmetic number, because the mean of its divisors is an integer number (1768075596).

Almost surely, 234102233444 is an apocalyptic number.

34102233444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34102233444 is an abundant number, since it is smaller than the sum of its proper divisors (50765395164).

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

34102233444 is a wasteful number, since it uses less digits than its factorization.

34102233444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220364 (or 1220362 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34102233444 its reverse (44433220143), we get a palindrome (78535453587).

It can be divided in two parts, 34102 and 233444, that added together give a triangular number (267546 = T731).

The spelling of 34102233444 in words is "thirty-four billion, one hundred two million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 4658 6987 9316 13974 27948 1220203 2440406 3660609 4880812 7321218 14642436 20743451 41486902 62230353 82973804 124460706 167167811 248921412 334335622 501503433 668671244 1003006866 2006013732 2841852787 5683705574 8525558361 11367411148 17051116722 34102233444