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1677040344 = 2332717195733
BaseRepresentation
bin110001111110101…
…1001101011011000
311022212122110212100
41203331121223120
511413310242334
6434224443400
756362415310
oct14375315330
94285573770
101677040344
11790711261
123a9779560
1320959ac85
1411ca2a440
159c36ac99
hex63f59ad8

1677040344 has 96 divisors (see below), whose sum is σ = 5496210720. Its totient is φ = 450966528.

The previous prime is 1677040289. The next prime is 1677040349. The reversal of 1677040344 is 4430407761.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1677040299 and 1677040308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1677040349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89299 + ... + 106434.

It is an arithmetic number, because the mean of its divisors is an integer number (57252195).

Almost surely, 21677040344 is an apocalyptic number.

1677040344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1677040344 is an abundant number, since it is smaller than the sum of its proper divisors (3819170376).

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

1677040344 is a wasteful number, since it uses less digits than its factorization.

1677040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195769 (or 195762 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1677040344 is about 40951.6830423366. The cubic root of 1677040344 is about 1188.0858863867.

The spelling of 1677040344 in words is "one billion, six hundred seventy-seven million, forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 195733 391466 587199 782932 1174398 1370131 1565864 1761597 2348796 2740262 3327461 3523194 4110393 4697592 5480524 6654922 7046388 8220786 9982383 10961048 12331179 13309844 14092776 16441572 19964766 23292227 24662358 26619688 29947149 32883144 39929532 46584454 49324716 59894298 69876681 79859064 93168908 98649432 119788596 139753362 186337816 209630043 239577192 279506724 419260086 559013448 838520172 1677040344