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340809952 = 2572383797
BaseRepresentation
bin10100010100000…
…101100011100000
3212202021221100211
4110110011203200
51144221404302
653452423504
711305560010
oct2424054340
9782257324
10340809952
1116541861a
1296177b94
13557b91c2
1433397c40
151edc0ad7
hex145058e0

340809952 has 96 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 137854464.

The previous prime is 340809941. The next prime is 340809967. The reversal of 340809952 is 259908043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427218 + ... + 428014.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2340809952 is an apocalyptic number.

340809952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

340809952 is an abundant number, since it is smaller than the sum of its proper divisors (470009120).

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

340809952 is a wasteful number, since it uses less digits than its factorization.

340809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 340809952 is about 18461.0387573397. The cubic root of 340809952 is about 698.5069892912.

The spelling of 340809952 in words is "three hundred forty million, eight hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 83 92 112 161 166 184 224 322 332 368 581 644 664 736 797 1162 1288 1328 1594 1909 2324 2576 2656 3188 3818 4648 5152 5579 6376 7636 9296 11158 12752 13363 15272 18331 18592 22316 25504 26726 30544 36662 44632 53452 61088 66151 73324 89264 106904 128317 132302 146648 178528 213808 256634 264604 293296 427616 463057 513268 529208 586592 926114 1026536 1058416 1521473 1852228 2053072 2116832 3042946 3704456 4106144 6085892 7408912 10650311 12171784 14817824 21300622 24343568 42601244 48687136 85202488 170404976 340809952