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434966140 = 22572894987
BaseRepresentation
bin11001111011010…
…000111001111100
31010022110120101001
4121323100321330
51342322404030
6111054500044
713531102600
oct3173207174
91108416331
10434966140
11203588554
12101804624
136c164b1b
1441aa7500
15282bdcca
hex19ed0e7c

434966140 has 72 divisors (see below), whose sum is σ = 1074714480. Its totient is φ = 147426048.

The previous prime is 434966137. The next prime is 434966143. The reversal of 434966140 is 41669434.

It is an interprime number because it is at equal distance from previous prime (434966137) and next prime (434966143).

It is a self number, because there is not a number n which added to its sum of digits gives 434966140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434966143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84727 + ... + 89713.

It is an arithmetic number, because the mean of its divisors is an integer number (14926590).

Almost surely, 2434966140 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 434966140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537357240).

434966140 is an abundant number, since it is smaller than the sum of its proper divisors (639748340).

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

434966140 is a wasteful number, since it uses less digits than its factorization.

434966140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 434966140 is about 20855.8418674481. The cubic root of 434966140 is about 757.6788251396.

The spelling of 434966140 in words is "four hundred thirty-four million, nine hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 196 245 356 445 490 623 890 980 1246 1780 2492 3115 4361 4987 6230 8722 9974 12460 17444 19948 21805 24935 34909 43610 49870 69818 87220 99740 139636 174545 244363 349090 443843 488726 698180 887686 977452 1221815 1775372 2219215 2443630 3106901 4438430 4887260 6213802 8876860 12427604 15534505 21748307 31069010 43496614 62138020 86993228 108741535 217483070 434966140