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3934720 = 2952953
BaseRepresentation
bin1111000000101000000000
321101220102101
433000220000
52001402340
6220200144
745305326
oct17005000
97356371
103934720
112248239
121399054
13a79c4a
14745d16
1552ac9a
hex3c0a00

3934720 has 80 divisors (see below), whose sum is σ = 9943560. Its totient is φ = 1490944.

The previous prime is 3934717. The next prime is 3934727. The reversal of 3934720 is 274393.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 430336 = 1872^2 + 656^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (3934727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74214 + ... + 74266.

Almost surely, 23934720 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 3934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971780).

3934720 is an abundant number, since it is smaller than the sum of its proper divisors (6008840).

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

3934720 is an equidigital number, since it uses as much as digits as its factorization.

3934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3934720 is about 1983.6128654554. The cubic root of 3934720 is about 157.8718182719.

The spelling of 3934720 in words is "three million, nine hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 256 265 290 320 424 464 512 530 580 640 848 928 1060 1160 1280 1537 1696 1856 2120 2320 2560 3074 3392 3712 4240 4640 6148 6784 7424 7685 8480 9280 12296 13568 14848 15370 16960 18560 24592 27136 30740 33920 37120 49184 61480 67840 74240 98368 122960 135680 196736 245920 393472 491840 786944 983680 1967360 3934720