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3790368 = 253341107
BaseRepresentation
bin1110011101011000100000
321010120102000
432131120200
51432242433
6213124000
744134431
oct16353040
97116360
103790368
11215983a
121329600
13a2932a
14709488
154ed113
hex39d620

3790368 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1221120.

The previous prime is 3790349. The next prime is 3790373. The reversal of 3790368 is 8630973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35371 + ... + 35477.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 23790368 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 3790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

3790368 is an abundant number, since it is smaller than the sum of its proper divisors (7640352).

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

3790368 is a wasteful number, since it uses less digits than its factorization.

3790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3790368 is about 1946.8867455504. The cubic root of 3790368 is about 155.9171157339.

The spelling of 3790368 in words is "three million, seven hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 107 108 123 144 164 214 216 246 288 321 328 369 428 432 492 642 656 738 856 864 963 984 1107 1284 1312 1476 1712 1926 1968 2214 2568 2889 2952 3424 3852 3936 4387 4428 5136 5778 5904 7704 8774 8856 10272 11556 11808 13161 15408 17548 17712 23112 26322 30816 35096 35424 39483 46224 52644 70192 78966 92448 105288 118449 140384 157932 210576 236898 315864 421152 473796 631728 947592 1263456 1895184 3790368