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345774348 = 223283971193
BaseRepresentation
bin10100100111000…
…001100100001100
3220002122011020100
4110213001210030
51202004234343
654151051100
711366014323
oct2447014414
9802564210
10345774348
111681a9427
1297970a90
1356836a0a
1433ccb0ba
15205519d3
hex149c190c

345774348 has 72 divisors (see below), whose sum is σ = 894439728. Its totient is φ = 112601088.

The previous prime is 345774343. The next prime is 345774353. The reversal of 345774348 is 843477543.

345774348 is a `hidden beast` number, since 34 + 577 + 4 + 3 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (345774343) and next prime (345774353).

It is not an unprimeable number, because it can be changed into a prime (345774343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289240 + ... + 290432.

It is an arithmetic number, because the mean of its divisors is an integer number (12422774).

Almost surely, 2345774348 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 345774348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447219864).

345774348 is an abundant number, since it is smaller than the sum of its proper divisors (548665380).

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

345774348 is a wasteful number, since it uses less digits than its factorization.

345774348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1378 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 345774348 is about 18595.0086851284. The cubic root of 345774348 is about 701.8822458149.

The spelling of 345774348 in words is "three hundred forty-five million, seven hundred seventy-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 97 166 194 249 291 332 388 498 582 747 873 996 1164 1193 1494 1746 2386 2988 3492 3579 4772 7158 8051 10737 14316 16102 21474 24153 32204 42948 48306 72459 96612 99019 115721 144918 198038 231442 289836 297057 347163 396076 462884 594114 694326 891171 1041489 1188228 1388652 1782342 2082978 3564684 4165956 9604843 19209686 28814529 38419372 57629058 86443587 115258116 172887174 345774348