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34331403414 = 23721134730593
BaseRepresentation
bin11111111110010011…
…111010010010010110
310021121121120222211210
4133332103322102112
51030302314402124
623434401042250
72323523054100
oct377623722226
9107547528753
1034331403414
1113618200580
1267a1626386
13331185b2b9
1419397c8570
15d5e012a29
hex7fe4fa496

34331403414 has 96 divisors (see below), whose sum is σ = 87388212096. Its totient is φ = 8891258880.

The previous prime is 34331403371. The next prime is 34331403439. The reversal of 34331403414 is 41430413343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106902 + ... + 1137494.

It is an arithmetic number, because the mean of its divisors is an integer number (910293876).

Almost surely, 234331403414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34331403414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43694106048).

34331403414 is an abundant number, since it is smaller than the sum of its proper divisors (53056808682).

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

34331403414 is a wasteful number, since it uses less digits than its factorization.

34331403414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30970 (or 30963 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34331403414 its reverse (41430413343), we get a palindrome (75761816757).

The spelling of 34331403414 in words is "thirty-four billion, three hundred thirty-one million, four hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 347 462 539 694 1041 1078 1617 2082 2429 3234 3817 4858 7287 7634 11451 14574 17003 22902 26719 30593 34006 51009 53438 61186 80157 91779 102018 160314 183558 187033 214151 336523 374066 428302 561099 642453 673046 1009569 1122198 1284906 1499057 2019138 2355661 2998114 4497171 4711322 7066983 8994342 10615771 14133966 16489627 21231542 31847313 32979254 49468881 63694626 74310397 98937762 116773481 148620794 222931191 233546962 350320443 445862382 520172779 700640886 817414367 1040345558 1560518337 1634828734 2452243101 3121036674 4904486202 5721900569 11443801138 17165701707 34331403414