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3743212644 = 2232103978129
BaseRepresentation
bin1101111100011100…
…1110010001100100
3100122212111220102100
43133013032101210
530131230301034
61415234012100
7161521532253
oct33707162144
910585456370
103743212644
111650a45076
12885717030
13478673832
142771cc79a
1516d950099
hexdf1ce464

3743212644 has 18 divisors (see below), whose sum is σ = 9462009830. Its totient is φ = 1247737536.

The previous prime is 3743212639. The next prime is 3743212657. The reversal of 3743212644 is 4462123473.

3743212644 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 2 + 1 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3406123044 + 337089600 = 58362^2 + 18360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 103978129 = 3743212644 / (3 + 7 + 4 + 3 + 2 + 1 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 3743212599 and 3743212608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51989029 + ... + 51989100.

Almost surely, 23743212644 is an apocalyptic number.

It is an amenable number.

3743212644 is an abundant number, since it is smaller than the sum of its proper divisors (5718797186).

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

3743212644 is a wasteful number, since it uses less digits than its factorization.

3743212644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103978139 (or 103978134 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3743212644 is about 61181.7999408321. The cubic root of 3743212644 is about 1552.6783583117.

The spelling of 3743212644 in words is "three billion, seven hundred forty-three million, two hundred twelve thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103978129 207956258 311934387 415912516 623868774 935803161 1247737548 1871606322 3743212644