Search a number
-
+
3434401212 = 22311291098231
BaseRepresentation
bin1100110010110100…
…1100110110111100
322212100102122202220
43030231030312330
524013201314322
61324443045340
7151051633344
oct31455146674
98770378686
103434401212
1115026a2510
127ba210850
134296ac188
142481a3d24
151517a055c
hexccb4cdbc

3434401212 has 96 divisors (see below), whose sum is σ = 9127641600. Its totient is φ = 995500800.

The previous prime is 3434401211. The next prime is 3434401237. The reversal of 3434401212 is 2121044343.

It is a super-2 number, since 2×34344012122 = 23590223369974137888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434401211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413137 + ... + 421367.

It is an arithmetic number, because the mean of its divisors is an integer number (95079600).

Almost surely, 23434401212 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 3434401212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563820800).

3434401212 is an abundant number, since it is smaller than the sum of its proper divisors (5693240388).

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

3434401212 is a wasteful number, since it uses less digits than its factorization.

3434401212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3434401212 is about 58603.7644865925. The cubic root of 3434401212 is about 1508.7490497591.

Adding to 3434401212 its reverse (2121044343), we get a palindrome (5555445555).

The spelling of 3434401212 in words is "three billion, four hundred thirty-four million, four hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 109 116 132 174 218 319 327 348 436 638 654 957 1199 1276 1308 1914 2398 3161 3597 3828 4796 6322 7194 8231 9483 12644 14388 16462 18966 24693 32924 34771 37932 49386 69542 90541 98772 104313 139084 181082 208626 238699 271623 362164 417252 477398 543246 716097 897179 954796 1086492 1432194 1794358 2625689 2691537 2864388 3588716 5251378 5383074 7877067 9868969 10502756 10766148 15754134 19737938 26018191 29606907 31508268 39475876 52036382 59213814 78054573 104072764 118427628 156109146 286200101 312218292 572400202 858600303 1144800404 1717200606 3434401212