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4342606848 = 210324671009
BaseRepresentation
bin1000000101101011…
…01110110000000000
3102012122101021200200
410002311232300000
532343201404343
61554525045200
7212420356236
oct40265566000
912178337620
104342606848
111929319888
12a123b6800
135428b9768
142d2a58956
151a639d4d3
hex102d6ec00

4342606848 has 132 divisors (see below), whose sum is σ = 12578487480. Its totient is φ = 1443004416.

The previous prime is 4342606841. The next prime is 4342606859. The reversal of 4342606848 is 8486062434.

4342606848 is a `hidden beast` number, since 4 + 34 + 2 + 606 + 8 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4342606841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4303368 + ... + 4304376.

Almost surely, 24342606848 is an apocalyptic number.

4342606848 is a gapful number since it is divisible by the number (48) 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 4342606848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289243740).

4342606848 is an abundant number, since it is smaller than the sum of its proper divisors (8235880632).

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

4342606848 is a wasteful number, since it uses less digits than its factorization.

4342606848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4342606848 is about 65898.4586162681. The cubic root of 4342606848 is about 1631.4865743645.

The spelling of 4342606848 in words is "four billion, three hundred forty-two million, six hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 467 512 576 768 934 1009 1024 1152 1401 1536 1868 2018 2304 2802 3027 3072 3736 4036 4203 4608 5604 6054 7472 8072 8406 9081 9216 11208 12108 14944 16144 16812 18162 22416 24216 29888 32288 33624 36324 44832 48432 59776 64576 67248 72648 89664 96864 119552 129152 134496 145296 179328 193728 239104 258304 268992 290592 358656 387456 471203 478208 516608 537984 581184 717312 774912 942406 1033216 1075968 1162368 1413609 1434624 1549824 1884812 2151936 2324736 2827218 3099648 3769624 4240827 4303872 4649472 5654436 7539248 8481654 9298944 11308872 15078496 16963308 22617744 30156992 33926616 45235488 60313984 67853232 90470976 120627968 135706464 180941952 241255936 271412928 361883904 482511872 542825856 723767808 1085651712 1447535616 2171303424 4342606848