Search a number
-
+
3725440344 = 233341532
BaseRepresentation
bin1101111000001101…
…1011010101011000
3100121122001222102000
43132003123111120
530112203042334
61413401041000
7161214502053
oct33603332530
910548058360
103725440344
111641a0651a
1287b786160
13474a90392
14274ac3a9a
1516c0de299
hexde0db558

3725440344 has 48 divisors (see below), whose sum is σ = 10350937800. Its totient is φ = 1241514432.

The previous prime is 3725440339. The next prime is 3725440351. The reversal of 3725440344 is 4430445273.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3725440344 is a `hidden beast` number, since 3 + 72 + 544 + 0 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3725440299 and 3725440308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894972 + ... + 899124.

Almost surely, 23725440344 is an apocalyptic number.

It is an amenable number.

3725440344 is an abundant number, since it is smaller than the sum of its proper divisors (6625497456).

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

3725440344 is an frugal number, since it uses more digits than its factorization.

3725440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3725440344 is about 61036.3854106712. The cubic root of 3725440344 is about 1550.2171522329.

The spelling of 3725440344 in words is "three billion, seven hundred twenty-five million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4153 8306 12459 16612 24918 33224 37377 49836 74754 99672 112131 149508 224262 299016 448524 897048 17247409 34494818 51742227 68989636 103484454 137979272 155226681 206968908 310453362 413937816 465680043 620906724 931360086 1241813448 1862720172 3725440344