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3661442040 = 233561500197
BaseRepresentation
bin1101101000111101…
…0010101111111000
3100110011122112020110
43122033102233320
524444312121130
61403153224320
7156506513064
oct33217225770
910404575213
103661442040
111609874663
128622620a0
13464743569
1426a3c4aa4
1516669bab0
hexda3d2bf8

3661442040 has 64 divisors (see below), whose sum is σ = 11164419360. Its totient is φ = 960376320.

The previous prime is 3661442039. The next prime is 3661442051. The reversal of 3661442040 is 402441663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3661441989 and 3661442007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242779 + ... + 257418.

Almost surely, 23661442040 is an apocalyptic number.

3661442040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3661442040 is an abundant number, since it is smaller than the sum of its proper divisors (7502977320).

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

3661442040 is a wasteful number, since it uses less digits than its factorization.

3661442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500272 (or 500268 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3661442040 is about 60509.8507682840. The cubic root of 3661442040 is about 1541.2889136252.

The spelling of 3661442040 in words is "three billion, six hundred sixty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 500197 1000394 1500591 2000788 2500985 3001182 4001576 5001970 6002364 7502955 10003940 12004728 15005910 20007880 30011820 30512017 60023640 61024034 91536051 122048068 152560085 183072102 244096136 305120170 366144204 457680255 610240340 732288408 915360510 1220480680 1830721020 3661442040