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4342661376 = 28329732671
BaseRepresentation
bin1000000101101011…
…11100000100000000
3102012122111001111020
410002311330010000
532343210131001
61554530145440
7212421004224
oct40265740400
912178431436
104342661376
111929356849
12a12422280
13542908521
142d2a70784
151a63ae736
hex102d7c100

4342661376 has 144 divisors (see below), whose sum is σ = 12124680960. Its totient is φ = 1377976320.

The previous prime is 4342661369. The next prime is 4342661417. The reversal of 4342661376 is 6731662434.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1624521 + ... + 1627191.

Almost surely, 24342661376 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 4342661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062340480).

4342661376 is an abundant number, since it is smaller than the sum of its proper divisors (7782019584).

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

4342661376 is a wasteful number, since it uses less digits than its factorization.

4342661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2778 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 4342661376 is about 65898.8723424005. The cubic root of 4342661376 is about 1631.4934029302.

The spelling of 4342661376 in words is "four billion, three hundred forty-two million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 128 146 174 192 219 232 256 292 348 384 438 464 584 696 768 876 928 1168 1392 1752 1856 2117 2336 2671 2784 3504 3712 4234 4672 5342 5568 6351 7008 7424 8013 8468 9344 10684 11136 12702 14016 16026 16936 18688 21368 22272 25404 28032 32052 33872 42736 50808 56064 64104 67744 77459 85472 101616 128208 135488 154918 170944 194983 203232 232377 256416 270976 309836 341888 389966 406464 464754 512832 541952 584949 619672 683776 779932 812928 929508 1025664 1169898 1239344 1559864 1625856 1859016 2051328 2339796 2478688 3119728 3718032 4679592 4957376 5654507 6239456 7436064 9359184 9914752 11309014 12478912 14872128 16963521 18718368 19829504 22618028 24957824 29744256 33927042 37436736 45236056 49915648 59488512 67854084 74873472 90472112 135708168 149746944 180944224 271416336 361888448 542832672 723776896 1085665344 1447553792 2171330688 4342661376