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38296240 = 2451729971
BaseRepresentation
bin1001001000010…
…1101010110000
32200001122120021
42102011222300
534300434430
63444453224
7643340563
oct222055260
980048507
1038296240
111a687594
12109aa214
137c1b1c8
14512c4da
15356707a
hex2485ab0

38296240 has 80 divisors (see below), whose sum is σ = 97627680. Its totient is φ = 13905920.

The previous prime is 38296217. The next prime is 38296249. The reversal of 38296240 is 4269283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 38296196 and 38296205.

It is not an unprimeable number, because it can be changed into a prime (38296249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38955 + ... + 39925.

It is an arithmetic number, because the mean of its divisors is an integer number (1220346).

Almost surely, 238296240 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 38296240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48813840).

38296240 is an abundant number, since it is smaller than the sum of its proper divisors (59331440).

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

38296240 is a wasteful number, since it uses less digits than its factorization.

38296240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 38296240 is about 6188.3955917507. The cubic root of 38296240 is about 337.0689219687.

The spelling of 38296240 in words is "thirty-eight million, two hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 971 986 1160 1360 1942 1972 2320 2465 3884 3944 4855 4930 7768 7888 9710 9860 15536 16507 19420 19720 28159 33014 38840 39440 56318 66028 77680 82535 112636 132056 140795 165070 225272 264112 281590 330140 450544 478703 563180 660280 957406 1126360 1320560 1914812 2252720 2393515 3829624 4787030 7659248 9574060 19148120 38296240