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3780096 = 29323107
BaseRepresentation
bin1110011010111000000000
321010001022120
432122320000
51431430341
6213004240
744062455
oct16327000
97101276
103780096
112152051
121323680
13a24758
1470582c
154ea066
hex39ae00

3780096 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 1193984.

The previous prime is 3780083. The next prime is 3780113. The reversal of 3780096 is 6900873.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35275 + ... + 35381.

Almost surely, 23780096 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 3780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3780096 is an abundant number, since it is smaller than the sum of its proper divisors (6826368).

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

3780096 is a wasteful number, since it uses less digits than its factorization.

3780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3780096 is about 1944.2468979016. The cubic root of 3780096 is about 155.7761417730.

It can be divided in two parts, 378009 and 6, that added together give a triangular number (378015 = T869).

The spelling of 3780096 in words is "three million, seven hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 128 138 184 192 214 256 276 321 368 384 428 512 552 642 736 768 856 1104 1284 1472 1536 1712 2208 2461 2568 2944 3424 4416 4922 5136 5888 6848 7383 8832 9844 10272 11776 13696 14766 17664 19688 20544 27392 29532 35328 39376 41088 54784 59064 78752 82176 118128 157504 164352 236256 315008 472512 630016 945024 1260032 1890048 3780096