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938684340 = 22325113141373
BaseRepresentation
bin110111111100110…
…010111110110100
32102102022002211200
4313330302332310
53410300344330
6233051132500
732155454016
oct6774627664
92372262750
10938684340
11441954490
12222444130
1311c61c429
148c94a1b6
155761da60
hex37f32fb4

938684340 has 288 divisors, whose sum is σ = 3293402112. Its totient is φ = 214272000.

The previous prime is 938684323. The next prime is 938684387. The reversal of 938684340 is 43486839.

It is a super-2 number, since 2×9386843402 = 1762256580322471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516394 + ... + 2516766.

It is an arithmetic number, because the mean of its divisors is an integer number (11435424).

Almost surely, 2938684340 is an apocalyptic number.

938684340 is a gapful number since it is divisible by the number (90) 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 938684340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646701056).

938684340 is an abundant number, since it is smaller than the sum of its proper divisors (2354717772).

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

938684340 is a wasteful number, since it uses less digits than its factorization.

938684340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 938684340 is about 30637.9558717614. The cubic root of 938684340 is about 979.1288732498.

The spelling of 938684340 in words is "nine hundred thirty-eight million, six hundred eighty-four thousand, three hundred forty".