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4740034398 = 231132997211
BaseRepresentation
bin1000110101000011…
…10010111101011110
3110020100012200210120
410122201302331132
534201422100043
62102203215410
7225314425161
oct43241627536
913210180716
104740034398
112012698000
12b03517566
135a703a1a8
1432d74dad8
151cb204983
hex11a872f5e

4740034398 has 128 divisors (see below), whose sum is σ = 10949783040. Its totient is φ = 1366041600.

The previous prime is 4740034393. The next prime is 4740034399. The reversal of 4740034398 is 8934300474.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740034393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22464513 + ... + 22464723.

It is an arithmetic number, because the mean of its divisors is an integer number (85545180).

Almost surely, 24740034398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4740034398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474891520).

4740034398 is an abundant number, since it is smaller than the sum of its proper divisors (6209748642).

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

4740034398 is a wasteful number, since it uses less digits than its factorization.

4740034398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4740034398 is about 68847.9077242003. The cubic root of 4740034398 is about 1679.8112975410.

The spelling of 4740034398 in words is "four billion, seven hundred forty million, thirty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 121 174 194 211 242 291 319 363 422 582 633 638 726 957 1067 1266 1331 1914 2134 2321 2662 2813 3201 3509 3993 4642 5626 6119 6402 6963 7018 7986 8439 10527 11737 12238 13926 16878 18357 20467 21054 23474 25531 30943 35211 36714 38599 40934 51062 61401 61886 67309 70422 76593 77198 92829 115797 122802 129107 134618 153186 185658 201927 225137 231594 258214 280841 340373 387321 403854 450274 561682 593543 675411 680746 740399 774642 842523 1021119 1187086 1350822 1480798 1685046 1780629 2042238 2221197 2476507 3561258 3744103 4442394 4953014 6528973 7429521 7488206 8144389 11232309 13057946 14859042 16288778 19586919 22464618 24433167 27241577 39173838 48866334 54483154 71818703 81724731 143637406 163449462 215456109 430912218 790005733 1580011466 2370017199 4740034398