Search a number
-
+
344904890676444 = 223275573392455723
BaseRepresentation
bin100111001101100000110110…
…1011111010111010011011100
31200020012120210212000111011200
41032123001231133113103130
5330201410204003121234
63221315041442115500
7132435361501431330
oct11633015537272334
91606176725014150
10344904890676444
119a99638515360a
1232824a6604bb90
1311a5b512556497
1461256b2d9b7c0
1529d1b7b0c1d99
hex139b06d7d74dc

344904890676444 has 72 divisors (see below), whose sum is σ = 996394099908480. Its totient is φ = 98544037538592.

The previous prime is 344904890676431. The next prime is 344904890676457. The reversal of 344904890676444 is 444676098409443.

344904890676444 is a `hidden beast` number, since 3 + 4 + 4 + 90 + 4 + 8 + 90 + 6 + 7 + 6 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (344904890676431) and next prime (344904890676457).

It is a super-2 number, since 2×3449048906764442 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139221567 + ... + 141677289.

Almost surely, 2344904890676444 is an apocalyptic number.

It is an amenable number.

344904890676444 is an abundant number, since it is smaller than the sum of its proper divisors (651489209232036).

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

344904890676444 is a wasteful number, since it uses less digits than its factorization.

344904890676444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013079 (or 3013074 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 72.

The spelling of 344904890676444 in words is "three hundred forty-four trillion, nine hundred four billion, eight hundred ninety million, six hundred seventy-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557339 1114678 1672017 2229356 2455723 3344034 3901373 4911446 5016051 6688068 7367169 7802746 9822892 10032102 11704119 14734338 15605492 17190061 20064204 22101507 23408238 29468676 34380122 35112357 44203014 46816476 51570183 68760244 70224714 88406028 103140366 140449428 154710549 206280732 309421098 618842196 1368670201097 2737340402194 4106010603291 5474680804388 8212021206582 9580691407679 12318031809873 16424042413164 19161382815358 24636063619746 28742074223037 38322765630716 49272127239492 57484148446074 86226222669111 114968296892148 172452445338222 344904890676444