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342377248 = 25291372693
BaseRepresentation
bin10100011010000…
…100001100100000
3212212020120021211
4110122010030200
51200122032443
653550155504
711325105253
oct2432041440
9785216254
10342377248
11166299104
12967b2b94
1355c176b5
143368509a
15200d019d
hex14684320

342377248 has 48 divisors (see below), whose sum is σ = 702649080. Its totient is φ = 164018176.

The previous prime is 342377197. The next prime is 342377257. The reversal of 342377248 is 842773243.

It can be written as a sum of positive squares in 4 ways, for example, as 294877584 + 47499664 = 17172^2 + 6892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 342377248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125790 + ... + 128482.

Almost surely, 2342377248 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 342377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351324540).

342377248 is an abundant number, since it is smaller than the sum of its proper divisors (360271832).

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

342377248 is a wasteful number, since it uses less digits than its factorization.

342377248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its digits is 225792, while the sum is 40.

The square root of 342377248 is about 18503.4388155283. The cubic root of 342377248 is about 699.5761025368.

The spelling of 342377248 in words is "three hundred forty-two million, three hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 137 232 274 464 548 928 1096 2192 2693 3973 4384 5386 7946 10772 15892 21544 31784 43088 63568 78097 86176 127136 156194 312388 368941 624776 737882 1249552 1475764 2499104 2951528 5903056 10699289 11806112 21398578 42797156 85594312 171188624 342377248