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340404334100 = 225222931484537
BaseRepresentation
bin1001111010000011010…
…11011110111000010100
31012112122100210212100122
410331001223132320110
521034122002142400
6420213554131112
733410352045635
oct4750153367024
91175570725318
10340404334100
11121401410556
1255b80880a98
132613b8ac3cc
14126932c188c
158cc4913685
hex4f41adee14

340404334100 has 36 divisors (see below), whose sum is σ = 739000047324. Its totient is φ = 136102260480.

The previous prime is 340404334099. The next prime is 340404334117. The reversal of 340404334100 is 1433404043.

It can be written as a sum of positive squares in 6 ways, for example, as 79996202896 + 260408131204 = 282836^2 + 510302^2 .

It is a super-3 number, since 3×3404043341003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 340404334100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512969 + ... + 971568.

Almost surely, 2340404334100 is an apocalyptic number.

It is an amenable number.

340404334100 is an abundant number, since it is smaller than the sum of its proper divisors (398595713224).

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

340404334100 is a wasteful number, since it uses less digits than its factorization.

340404334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486844 (or 1486837 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 340404334100 its reverse (1433404043), we get a palindrome (341837738143).

The spelling of 340404334100 in words is "three hundred forty billion, four hundred four million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2293 4586 9172 11465 22930 45860 57325 114650 229300 1484537 2969074 5938148 7422685 14845370 29690740 37113425 74226850 148453700 3404043341 6808086682 13616173364 17020216705 34040433410 68080866820 85101083525 170202167050 340404334100