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671374144 = 2674673209
BaseRepresentation
bin101000000001000…
…101101101000000
31201210022100012001
4220001011231000
52333332433034
6150341513344
722431405010
oct5001055500
91653270161
10671374144
11314a78371
12168a12854
13a9128a0c
1465245c40
153de1aa14
hex28045b40

671374144 has 56 divisors (see below), whose sum is σ = 1526316480. Its totient is φ = 287026176.

The previous prime is 671374141. The next prime is 671374199. The reversal of 671374144 is 441473176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×6713741443 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671374141) 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, 207612 + ... + 210820.

Almost surely, 2671374144 is an apocalyptic number.

671374144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763158240).

671374144 is an abundant number, since it is smaller than the sum of its proper divisors (854942336).

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

671374144 is a wasteful number, since it uses less digits than its factorization.

671374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3685 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 671374144 is about 25910.8885220094. Note that the first 3 decimals coincide. The cubic root of 671374144 is about 875.6318240407.

The spelling of 671374144 in words is "six hundred seventy-one million, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 467 934 1868 3209 3269 3736 6418 6538 7472 12836 13076 14944 22463 25672 26152 29888 44926 51344 52304 89852 102688 104608 179704 205376 209216 359408 718816 1437632 1498603 2997206 5994412 10490221 11988824 20980442 23977648 41960884 47955296 83921768 95910592 167843536 335687072 671374144