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4354997080 = 235733746153
BaseRepresentation
bin1000000111001001…
…11111101101011000
3102020111200202220011
410003210333231120
532404334401310
62000050411304
7212630602330
oct40344775530
912214622804
104354997080
111935311845
12a16590b34
13545337265
142d45620c0
151a74e978a
hex10393fb58

4354997080 has 64 divisors (see below), whose sum is σ = 11232037440. Its totient is φ = 1488678912.

The previous prime is 4354997071. The next prime is 4354997093. The reversal of 4354997080 is 807994534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71284 + ... + 117436.

It is an arithmetic number, because the mean of its divisors is an integer number (175500585).

Almost surely, 24354997080 is an apocalyptic number.

4354997080 is a gapful number since it is divisible by the number (40) 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 4354997080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616018720).

4354997080 is an abundant number, since it is smaller than the sum of its proper divisors (6877040360).

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

4354997080 is a wasteful number, since it uses less digits than its factorization.

4354997080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46508 (or 46504 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 4354997080 is about 65992.4016838302. The cubic root of 4354997080 is about 1633.0367417406.

The spelling of 4354997080 in words is "four billion, three hundred fifty-four million, nine hundred ninety-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 337 674 1348 1685 2359 2696 3370 4718 6740 9436 11795 13480 18872 23590 46153 47180 92306 94360 184612 230765 323071 369224 461530 646142 923060 1292284 1615355 1846120 2584568 3230710 6461420 12922840 15553561 31107122 62214244 77767805 108874927 124428488 155535610 217749854 311071220 435499708 544374635 622142440 870999416 1088749270 2177498540 4354997080