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283402328 = 23112192811
BaseRepresentation
bin10000111001000…
…110000001011000
3201202021022220112
4100321012001120
51040022333303
644042143452
710010610566
oct2071060130
9652238815
10283402328
11135a78400
127aab1b88
13469391b1
14298d2a36
1519d310d8
hex10e46058

283402328 has 72 divisors (see below), whose sum is σ = 617197140. Its totient is φ = 121888800.

The previous prime is 283402313. The next prime is 283402333. The reversal of 283402328 is 823204382.

It is a junction number, because it is equal to n+sod(n) for n = 283402294 and 283402303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349043 + ... + 349853.

Almost surely, 2283402328 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 283402328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308598570).

283402328 is an abundant number, since it is smaller than the sum of its proper divisors (333794812).

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

283402328 is a wasteful number, since it uses less digits than its factorization.

283402328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 283402328 is about 16834.5575528435. The cubic root of 283402328 is about 656.8524202730.

The spelling of 283402328 in words is "two hundred eighty-three million, four hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 722 811 836 968 1444 1622 1672 2299 2888 3244 3971 4598 6488 7942 8921 9196 15409 15884 17842 18392 30818 31768 35684 43681 61636 71368 87362 98131 123272 169499 174724 196262 292771 338998 349448 392524 585542 677996 785048 1171084 1355992 1864489 2342168 3220481 3728978 6440962 7457956 12881924 14915912 25763848 35425291 70850582 141701164 283402328