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3701002240 = 21251313901
BaseRepresentation
bin1101110010011000…
…1101000000000000
3100112221002101122001
43130212031000000
530034424032430
61411125153344
7160466666665
oct33446150000
910487071561
103701002240
11162a134841
1287355b854
1346c9b4b70
14271761a6c
15169db33ca
hexdc98d000

3701002240 has 104 divisors (see below), whose sum is σ = 9565187688. Its totient is φ = 1366425600.

The previous prime is 3701002237. The next prime is 3701002247. The reversal of 3701002240 is 422001073.

It can be written as a sum of positive squares in 4 ways, for example, as 316555264 + 3384446976 = 17792^2 + 58176^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701002247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259290 + ... + 273190.

Almost surely, 23701002240 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 3701002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782593844).

3701002240 is an abundant number, since it is smaller than the sum of its proper divisors (5864185448).

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

3701002240 is a wasteful number, since it uses less digits than its factorization.

3701002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 3701002240 is about 60835.8631072166. The cubic root of 3701002240 is about 1546.8200138615.

The spelling of 3701002240 in words is "three billion, seven hundred one million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8320 10240 13312 13901 16640 20480 26624 27802 33280 53248 55604 66560 69505 111208 133120 139010 180713 222416 266240 278020 361426 444832 556040 722852 889664 903565 1112080 1445704 1779328 1807130 2224160 2891408 3558656 3614260 4448320 5782816 7117312 7228520 8896640 11565632 14234624 14457040 17793280 23131264 28469248 28914080 35586560 46262528 56938496 57828160 71173120 92525056 115656320 142346240 185050112 231312640 284692480 370100224 462625280 740200448 925250560 1850501120 3701002240