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3629668240 = 245114124623
BaseRepresentation
bin1101100001011000…
…0101011110010000
3100100221212020210001
43120112011132100
524413143340430
61400100215344
7155642446102
oct33026053620
910327766701
103629668240
1115a2942520
1285369a554
1345ac9a0b3
142660b3572
151639c23ca
hexd8585790

3629668240 has 40 divisors (see below), whose sum is σ = 9206160768. Its totient is φ = 1319879040.

The previous prime is 3629668183. The next prime is 3629668247. The reversal of 3629668240 is 428669263.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3629668247) 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, 2061432 + ... + 2063191.

Almost surely, 23629668240 is an apocalyptic number.

It is an amenable number.

3629668240 is an abundant number, since it is smaller than the sum of its proper divisors (5576492528).

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

3629668240 is a wasteful number, since it uses less digits than its factorization.

3629668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124647 (or 4124641 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 3629668240 is about 60246.7280439361. The cubic root of 3629668240 is about 1536.8175466392.

The spelling of 3629668240 in words is "three billion, six hundred twenty-nine million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4124623 8249246 16498492 20623115 32996984 41246230 45370853 65993968 82492460 90741706 164984920 181483412 226854265 329969840 362966824 453708530 725933648 907417060 1814834120 3629668240