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348040672245 = 32574919224617
BaseRepresentation
bin1010001000010001101…
…01110011001111110101
31020021100112221000222100
411010020311303033311
521200241403002440
6423515423252313
734100525621310
oct5041065631765
91207315830870
10348040672245
1112466a982412
125755214a099
1326a87994aa6
1412bb9563977
1590c0027230
hex5108d733f5

348040672245 has 48 divisors (see below), whose sum is σ = 689595229440. Its totient is φ = 159071254272.

The previous prime is 348040672211. The next prime is 348040672253. The reversal of 348040672245 is 542276040843.

It is a happy number.

348040672245 is a `hidden beast` number, since 348 + 0 + 4 + 0 + 67 + 2 + 245 = 666.

It is not a de Polignac number, because 348040672245 - 28 = 348040671989 is a prime.

It is a super-2 number, since 2×3480406722452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 348040672245.

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, 1437177 + ... + 1661793.

It is an arithmetic number, because the mean of its divisors is an integer number (14366567280).

Almost surely, 2348040672245 is an apocalyptic number.

348040672245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348040672245 is a deficient number, since it is larger than the sum of its proper divisors (341554557195).

348040672245 is a wasteful number, since it uses less digits than its factorization.

348040672245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229554 (or 229551 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 348040672245 in words is "three hundred forty-eight billion, forty million, six hundred seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 4919 14757 24595 34433 44271 73785 103299 172165 221355 224617 309897 516495 673851 1123085 1549485 1572319 2021553 3369255 4716957 7861595 10107765 14150871 23584785 70754355 1104891023 3314673069 5524455115 7734237161 9944019207 16573365345 23202711483 38671185805 49720096035 69608134449 116013557415 348040672245