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341311488 = 2193731
BaseRepresentation
bin10100010110000…
…000000000000000
3212210020102100020
4110112000000000
51144333431423
653511253440
711313046140
oct2426000000
9783212306
10341311488
11165730411
129637a280
135593357b
1433488920
151ee6e4e3
hex14580000

341311488 has 160 divisors (see below), whose sum is σ = 1073740800. Its totient is φ = 94371840.

The previous prime is 341311483. The next prime is 341311493. The reversal of 341311488 is 884113143.

It is an interprime number because it is at equal distance from previous prime (341311483) and next prime (341311493).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341311483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11010033 + ... + 11010063.

It is an arithmetic number, because the mean of its divisors is an integer number (6710880).

Almost surely, 2341311488 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 341311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870400).

341311488 is an abundant number, since it is smaller than the sum of its proper divisors (732429312).

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

341311488 is an frugal number, since it uses more digits than its factorization.

341311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 341311488 is about 18474.6173979328. The cubic root of 341311488 is about 698.8494623644.

The spelling of 341311488 in words is "three hundred forty-one million, three hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1024 1302 1344 1488 1536 1736 1792 1984 2048 2604 2688 2976 3072 3472 3584 3968 4096 5208 5376 5952 6144 6944 7168 7936 8192 10416 10752 11904 12288 13888 14336 15872 16384 20832 21504 23808 24576 27776 28672 31744 32768 41664 43008 47616 49152 55552 57344 63488 65536 83328 86016 95232 98304 111104 114688 126976 131072 166656 172032 190464 196608 222208 229376 253952 262144 333312 344064 380928 393216 444416 458752 507904 524288 666624 688128 761856 786432 888832 917504 1015808 1333248 1376256 1523712 1572864 1777664 1835008 2031616 2666496 2752512 3047424 3555328 3670016 4063232 5332992 5505024 6094848 7110656 8126464 10665984 11010048 12189696 14221312 16252928 21331968 24379392 28442624 42663936 48758784 56885248 85327872 113770496 170655744 341311488