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3740300964 = 2232101932
BaseRepresentation
bin1101111011110000…
…0111011010100100
3100122200000222100100
43132330013122210
530130004112324
61415051344100
7161455014351
oct33674073244
910580028310
103740300964
11164a336524
12884752030
13477b9444a
14276a71628
1516d5774c9
hexdef076a4

3740300964 has 27 divisors (see below), whose sum is σ = 9455577313. Its totient is φ = 1246644672.

The previous prime is 3740300957. The next prime is 3740300981. The reversal of 3740300964 is 4690030473.

The square root of 3740300964 is 61158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2678062500 + 1062238464 = 51750^2 + 32592^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 361852 + ... + 372044.

Almost surely, 23740300964 is an apocalyptic number.

3740300964 is the 61158-th square number.

It is an amenable number.

3740300964 is an abundant number, since it is smaller than the sum of its proper divisors (5715276349).

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

3740300964 is an equidigital number, since it uses as much as digits as its factorization.

3740300964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 3740300964 is about 1552.2756672133.

Multiplying 3740300964 by its sum of digits (36), we get a square (134650834704 = 3669482).

3740300964 divided by its sum of digits (36) gives a square (103897249 = 101932).

It can be divided in two parts, 3740 and 300964, that added together give a square (304704 = 5522).

The spelling of 3740300964 in words is "three billion, seven hundred forty million, three hundred thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10193 20386 30579 40772 61158 91737 122316 183474 366948 103897249 207794498 311691747 415588996 623383494 935075241 1246766988 1870150482 3740300964