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3754274640 = 243515642811
BaseRepresentation
bin1101111111000101…
…1010111101010000
3100200122022220121220
43133301122331100
530142043242030
61420311045040
7162014544054
oct33761327520
910618286556
103754274640
111657210116
12889370780
1347aa478ac
1427886bc64
1516e8d7a10
hexdfc5af50

3754274640 has 40 divisors (see below), whose sum is σ = 11638252128. Its totient is φ = 1001139840.

The previous prime is 3754274627. The next prime is 3754274647. The reversal of 3754274640 is 464724573.

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

It is a junction number, because it is equal to n+sod(n) for n = 3754274592 and 3754274601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3754274647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7821166 + ... + 7821645.

Almost surely, 23754274640 is an apocalyptic number.

3754274640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3754274640 is an abundant number, since it is smaller than the sum of its proper divisors (7883977488).

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

3754274640 is a wasteful number, since it uses less digits than its factorization.

3754274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642827 (or 15642821 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 3754274640 is about 61272.1359183765. The cubic root of 3754274640 is about 1554.2063532749.

The spelling of 3754274640 in words is "three billion, seven hundred fifty-four million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15642811 31285622 46928433 62571244 78214055 93856866 125142488 156428110 187713732 234642165 250284976 312856220 375427464 469284330 625712440 750854928 938568660 1251424880 1877137320 3754274640