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2134334412 = 2232743431457
BaseRepresentation
bin111111100110111…
…0101101111001100
312111202010102101200
41333031311233030
513332342200122
6551442105500
7103614354210
oct17715655714
95452112350
102134334412
119a585a041
124b694b290
1328024c992
14163666940
15c759a5ac
hex7f375bcc

2134334412 has 144 divisors (see below), whose sum is σ = 6337723392. Its totient is φ = 592945920.

The previous prime is 2134334383. The next prime is 2134334453. The reversal of 2134334412 is 2144334312.

2134334412 is a `hidden beast` number, since 213 + 4 + 3 + 3 + 441 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 4670088 + ... + 4670544.

It is an arithmetic number, because the mean of its divisors is an integer number (44011968).

Almost surely, 22134334412 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 2134334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168861696).

2134334412 is an abundant number, since it is smaller than the sum of its proper divisors (4203388980).

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

2134334412 is a wasteful number, since it uses less digits than its factorization.

2134334412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 943 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2134334412 is about 46198.8572585946. The cubic root of 2134334412 is about 1287.5205085746.

Adding to 2134334412 its reverse (2144334312), we get a palindrome (4278668724).

It can be divided in two parts, 21343 and 34412, that added together give a palindrome (55755).

The spelling of 2134334412 in words is "two billion, one hundred thirty-four million, three hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 431 457 516 602 774 862 903 914 1204 1293 1371 1548 1724 1806 1828 2586 2709 2742 3017 3199 3612 3879 4113 5172 5418 5484 6034 6398 7758 8226 9051 9597 10836 12068 12796 15516 16452 18102 18533 19194 19651 27153 28791 36204 37066 38388 39302 54306 55599 57582 58953 74132 78604 108612 111198 115164 117906 129731 137557 166797 176859 196967 222396 235812 259462 275114 333594 353718 389193 393934 412671 518924 550228 590901 667188 707436 778386 787868 825342 1167579 1181802 1238013 1378769 1556772 1650684 1772703 2335158 2363604 2476026 2757538 3545406 4136307 4670316 4952052 5515076 7090812 8272614 8469581 12408921 16545228 16939162 24817842 25408743 33878324 49635684 50817486 59287067 76226229 101634972 118574134 152452458 177861201 237148268 304904916 355722402 533583603 711444804 1067167206 2134334412